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Simplifying -1(x + -1) = -2(5 + x) Reorder the terms: -1(-1 + x) = -2(5 + x) (-1 * -1 + x * -1) = -2(5 + x) (1 + -1x) = -2(5 + x) 1 + -1x = (5 * -2 + x * -2) 1 + -1x = (-10 + -2x) Solving 1 + -1x = -10 + -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. 1 + -1x + 2x = -10 + -2x + 2x Combine like terms: -1x + 2x = 1x 1 + 1x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 1x = -10 + 0 1 + 1x = -10 Add '-1' to each side of the equation. 1 + -1 + 1x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -10 + -1 1x = -10 + -1 Combine like terms: -10 + -1 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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