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Simplifying -8(x + -3) = 2(x + 32) Reorder the terms: -8(-3 + x) = 2(x + 32) (-3 * -8 + x * -8) = 2(x + 32) (24 + -8x) = 2(x + 32) Reorder the terms: 24 + -8x = 2(32 + x) 24 + -8x = (32 * 2 + x * 2) 24 + -8x = (64 + 2x) Solving 24 + -8x = 64 + 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. 24 + -8x + -2x = 64 + 2x + -2x Combine like terms: -8x + -2x = -10x 24 + -10x = 64 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -10x = 64 + 0 24 + -10x = 64 Add '-24' to each side of the equation. 24 + -24 + -10x = 64 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 64 + -24 -10x = 64 + -24 Combine like terms: 64 + -24 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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