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Simplifying -1(x + -5) = 8 + 2(x + -6) Reorder the terms: -1(-5 + x) = 8 + 2(x + -6) (-5 * -1 + x * -1) = 8 + 2(x + -6) (5 + -1x) = 8 + 2(x + -6) Reorder the terms: 5 + -1x = 8 + 2(-6 + x) 5 + -1x = 8 + (-6 * 2 + x * 2) 5 + -1x = 8 + (-12 + 2x) Combine like terms: 8 + -12 = -4 5 + -1x = -4 + 2x Solving 5 + -1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -1x + -2x = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = -4 + 0 5 + -3x = -4 Add '-5' to each side of the equation. 5 + -5 + -3x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -4 + -5 -3x = -4 + -5 Combine like terms: -4 + -5 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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