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Simplifying -2(x + -1) = 8x + 32 Reorder the terms: -2(-1 + x) = 8x + 32 (-1 * -2 + x * -2) = 8x + 32 (2 + -2x) = 8x + 32 Reorder the terms: 2 + -2x = 32 + 8x Solving 2 + -2x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -2x + -8x = 32 + 8x + -8x Combine like terms: -2x + -8x = -10x 2 + -10x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -10x = 32 + 0 2 + -10x = 32 Add '-2' to each side of the equation. 2 + -2 + -10x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 32 + -2 -10x = 32 + -2 Combine like terms: 32 + -2 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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