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