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Simplifying -8(x + -8) = 2(x + 67) Reorder the terms: -8(-8 + x) = 2(x + 67) (-8 * -8 + x * -8) = 2(x + 67) (64 + -8x) = 2(x + 67) Reorder the terms: 64 + -8x = 2(67 + x) 64 + -8x = (67 * 2 + x * 2) 64 + -8x = (134 + 2x) Solving 64 + -8x = 134 + 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. 64 + -8x + -2x = 134 + 2x + -2x Combine like terms: -8x + -2x = -10x 64 + -10x = 134 + 2x + -2x Combine like terms: 2x + -2x = 0 64 + -10x = 134 + 0 64 + -10x = 134 Add '-64' to each side of the equation. 64 + -64 + -10x = 134 + -64 Combine like terms: 64 + -64 = 0 0 + -10x = 134 + -64 -10x = 134 + -64 Combine like terms: 134 + -64 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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