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Simplifying -1(x + 1) = -2(-1x + -4) Reorder the terms: -1(1 + x) = -2(-1x + -4) (1 * -1 + x * -1) = -2(-1x + -4) (-1 + -1x) = -2(-1x + -4) Reorder the terms: -1 + -1x = -2(-4 + -1x) -1 + -1x = (-4 * -2 + -1x * -2) -1 + -1x = (8 + 2x) Solving -1 + -1x = 8 + 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 = 8 + 2x + -2x Combine like terms: -1x + -2x = -3x -1 + -3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -3x = 8 + 0 -1 + -3x = 8 Add '1' to each side of the equation. -1 + 1 + -3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 8 + 1 -3x = 8 + 1 Combine like terms: 8 + 1 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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