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