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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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