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Simplifying 12 + -1(8 + -2x) + 7(x + 1) = 5x + 3 12 + (8 * -1 + -2x * -1) + 7(x + 1) = 5x + 3 12 + (-8 + 2x) + 7(x + 1) = 5x + 3 Reorder the terms: 12 + -8 + 2x + 7(1 + x) = 5x + 3 12 + -8 + 2x + (1 * 7 + x * 7) = 5x + 3 12 + -8 + 2x + (7 + 7x) = 5x + 3 Reorder the terms: 12 + -8 + 7 + 2x + 7x = 5x + 3 Combine like terms: 12 + -8 = 4 4 + 7 + 2x + 7x = 5x + 3 Combine like terms: 4 + 7 = 11 11 + 2x + 7x = 5x + 3 Combine like terms: 2x + 7x = 9x 11 + 9x = 5x + 3 Reorder the terms: 11 + 9x = 3 + 5x Solving 11 + 9x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 9x + -5x = 3 + 5x + -5x Combine like terms: 9x + -5x = 4x 11 + 4x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 4x = 3 + 0 11 + 4x = 3 Add '-11' to each side of the equation. 11 + -11 + 4x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 3 + -11 4x = 3 + -11 Combine like terms: 3 + -11 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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