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Simplifying -2(x + -9) = 8x + -32 Reorder the terms: -2(-9 + x) = 8x + -32 (-9 * -2 + x * -2) = 8x + -32 (18 + -2x) = 8x + -32 Reorder the terms: 18 + -2x = -32 + 8x Solving 18 + -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. 18 + -2x + -8x = -32 + 8x + -8x Combine like terms: -2x + -8x = -10x 18 + -10x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -10x = -32 + 0 18 + -10x = -32 Add '-18' to each side of the equation. 18 + -18 + -10x = -32 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -32 + -18 -10x = -32 + -18 Combine like terms: -32 + -18 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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