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Simplifying 8 + -1(3 + -1x) + -1x + -1(3 + -1x) + (3 + -1x) + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + (3 * -1 + -1x * -1) + -1x + -1(3 + -1x) + (3 + -1x) + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + (-3 + 1x) + -1x + -1(3 + -1x) + (3 + -1x) + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + (3 * -1 + -1x * -1) + (3 + -1x) + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + (-3 + 1x) + (3 + -1x) + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 Remove parenthesis around (3 + -1x) 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + (3 + -1x) + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 Remove parenthesis around (3 + -1x) 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + (2 + -1x) + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 Remove parenthesis around (2 + -1x) 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -1(3 + -1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + (3 * -1 + -1x * -1) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + (-3 + 1x) + -1x + -1(2 + -1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + (2 * -1 + -1x * -1) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + (-2 + 1x) + -5 + -1(3 + -1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + -2 + 1x + -5 + (3 * -1 + -1x * -1) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + -2 + 1x + -5 + (-3 + 1x) + -1x + -1(2 + -1x) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + -2 + 1x + -5 + -3 + 1x + -1x + (2 * -1 + -1x * -1) = 12 8 + -3 + 1x + -1x + -3 + 1x + 3 + -1x + x + 3 + -1x + 2 + -1x + 6 + -3 + 1x + -1x + -2 + 1x + -5 + -3 + 1x + -1x + (-2 + 1x) = 12 Reorder the terms: 8 + -3 + -3 + 3 + 3 + 2 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 8 + -3 = 5 5 + -3 + 3 + 3 + 2 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 5 + -3 = 2 2 + 3 + 3 + 2 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 2 + 3 = 5 5 + 3 + 2 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 5 + 3 = 8 8 + 2 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 8 + 2 = 10 10 + 6 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 10 + 6 = 16 16 + -3 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 16 + -3 = 13 13 + -2 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 13 + -2 = 11 11 + -5 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 11 + -5 = 6 6 + -3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 6 + -3 = 3 3 + -2 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 3 + -2 = 1 1 + 1x + -1x + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 1x + -1x = 0 1 + 0 + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 1 + 1x + -1x + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: 1x + -1x = 0 1 + 0 + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 1 + x + -1x + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: x + -1x = 0 1 + 0 + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 1 + -1x + 1x + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: -1x + 1x = 0 1 + 0 + -1x + 1x + 1x + -1x + 1x = 12 1 + -1x + 1x + 1x + -1x + 1x = 12 Combine like terms: -1x + 1x = 0 1 + 0 + 1x + -1x + 1x = 12 1 + 1x + -1x + 1x = 12 Combine like terms: 1x + -1x = 0 1 + 0 + 1x = 12 1 + 1x = 12 Solving 1 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 12 + -1 1x = 12 + -1 Combine like terms: 12 + -1 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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