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Simplifying -1(12 + -4x) + 2(10 + -1x) = 0 (12 * -1 + -4x * -1) + 2(10 + -1x) = 0 (-12 + 4x) + 2(10 + -1x) = 0 -12 + 4x + (10 * 2 + -1x * 2) = 0 -12 + 4x + (20 + -2x) = 0 Reorder the terms: -12 + 20 + 4x + -2x = 0 Combine like terms: -12 + 20 = 8 8 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 8 + 2x = 0 Solving 8 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 0 + -8 2x = 0 + -8 Combine like terms: 0 + -8 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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