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Simplifying 12(3x + 6) + -5(2x + -6) = 6x + -18 Reorder the terms: 12(6 + 3x) + -5(2x + -6) = 6x + -18 (6 * 12 + 3x * 12) + -5(2x + -6) = 6x + -18 (72 + 36x) + -5(2x + -6) = 6x + -18 Reorder the terms: 72 + 36x + -5(-6 + 2x) = 6x + -18 72 + 36x + (-6 * -5 + 2x * -5) = 6x + -18 72 + 36x + (30 + -10x) = 6x + -18 Reorder the terms: 72 + 30 + 36x + -10x = 6x + -18 Combine like terms: 72 + 30 = 102 102 + 36x + -10x = 6x + -18 Combine like terms: 36x + -10x = 26x 102 + 26x = 6x + -18 Reorder the terms: 102 + 26x = -18 + 6x Solving 102 + 26x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 102 + 26x + -6x = -18 + 6x + -6x Combine like terms: 26x + -6x = 20x 102 + 20x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 102 + 20x = -18 + 0 102 + 20x = -18 Add '-102' to each side of the equation. 102 + -102 + 20x = -18 + -102 Combine like terms: 102 + -102 = 0 0 + 20x = -18 + -102 20x = -18 + -102 Combine like terms: -18 + -102 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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