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Simplifying -1(x + 2) = -2(4 + -1x) Reorder the terms: -1(2 + x) = -2(4 + -1x) (2 * -1 + x * -1) = -2(4 + -1x) (-2 + -1x) = -2(4 + -1x) -2 + -1x = (4 * -2 + -1x * -2) -2 + -1x = (-8 + 2x) Solving -2 + -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. -2 + -1x + -2x = -8 + 2x + -2x Combine like terms: -1x + -2x = -3x -2 + -3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -3x = -8 + 0 -2 + -3x = -8 Add '2' to each side of the equation. -2 + 2 + -3x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -8 + 2 -3x = -8 + 2 Combine like terms: -8 + 2 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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