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Simplifying -1(1x + 1) = -2(5 + -1x) Reorder the terms: -1(1 + 1x) = -2(5 + -1x) (1 * -1 + 1x * -1) = -2(5 + -1x) (-1 + -1x) = -2(5 + -1x) -1 + -1x = (5 * -2 + -1x * -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 = -3x -1 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -3x = -10 + 0 -1 + -3x = -10 Add '1' to each side of the equation. -1 + 1 + -3x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -10 + 1 -3x = -10 + 1 Combine like terms: -10 + 1 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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