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Simplifying 7 + -2(x + -1) = 5(x + -1) Reorder the terms: 7 + -2(-1 + x) = 5(x + -1) 7 + (-1 * -2 + x * -2) = 5(x + -1) 7 + (2 + -2x) = 5(x + -1) Combine like terms: 7 + 2 = 9 9 + -2x = 5(x + -1) Reorder the terms: 9 + -2x = 5(-1 + x) 9 + -2x = (-1 * 5 + x * 5) 9 + -2x = (-5 + 5x) Solving 9 + -2x = -5 + 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. 9 + -2x + -5x = -5 + 5x + -5x Combine like terms: -2x + -5x = -7x 9 + -7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -7x = -5 + 0 9 + -7x = -5 Add '-9' to each side of the equation. 9 + -9 + -7x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -5 + -9 -7x = -5 + -9 Combine like terms: -5 + -9 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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