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Simplifying 2x + -1(x + -1) = 12 + 5(x + -1) Reorder the terms: 2x + -1(-1 + x) = 12 + 5(x + -1) 2x + (-1 * -1 + x * -1) = 12 + 5(x + -1) 2x + (1 + -1x) = 12 + 5(x + -1) Reorder the terms: 1 + 2x + -1x = 12 + 5(x + -1) Combine like terms: 2x + -1x = 1x 1 + 1x = 12 + 5(x + -1) Reorder the terms: 1 + 1x = 12 + 5(-1 + x) 1 + 1x = 12 + (-1 * 5 + x * 5) 1 + 1x = 12 + (-5 + 5x) Combine like terms: 12 + -5 = 7 1 + 1x = 7 + 5x Solving 1 + 1x = 7 + 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. 1 + 1x + -5x = 7 + 5x + -5x Combine like terms: 1x + -5x = -4x 1 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -4x = 7 + 0 1 + -4x = 7 Add '-1' to each side of the equation. 1 + -1 + -4x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 7 + -1 -4x = 7 + -1 Combine like terms: 7 + -1 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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