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Simplifying -1(12 + -4x) + 8(10 + -1x) = 0 (12 * -1 + -4x * -1) + 8(10 + -1x) = 0 (-12 + 4x) + 8(10 + -1x) = 0 -12 + 4x + (10 * 8 + -1x * 8) = 0 -12 + 4x + (80 + -8x) = 0 Reorder the terms: -12 + 80 + 4x + -8x = 0 Combine like terms: -12 + 80 = 68 68 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x 68 + -4x = 0 Solving 68 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -4x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -4x = 0 + -68 -4x = 0 + -68 Combine like terms: 0 + -68 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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