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Simplifying -1(x + -12) + 3(x + 2) = 0 Reorder the terms: -1(-12 + x) + 3(x + 2) = 0 (-12 * -1 + x * -1) + 3(x + 2) = 0 (12 + -1x) + 3(x + 2) = 0 Reorder the terms: 12 + -1x + 3(2 + x) = 0 12 + -1x + (2 * 3 + x * 3) = 0 12 + -1x + (6 + 3x) = 0 Reorder the terms: 12 + 6 + -1x + 3x = 0 Combine like terms: 12 + 6 = 18 18 + -1x + 3x = 0 Combine like terms: -1x + 3x = 2x 18 + 2x = 0 Solving 18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 0 + -18 2x = 0 + -18 Combine like terms: 0 + -18 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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