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Simplifying 3(12 + -2x) + -10(2x + -6) = -60 (12 * 3 + -2x * 3) + -10(2x + -6) = -60 (36 + -6x) + -10(2x + -6) = -60 Reorder the terms: 36 + -6x + -10(-6 + 2x) = -60 36 + -6x + (-6 * -10 + 2x * -10) = -60 36 + -6x + (60 + -20x) = -60 Reorder the terms: 36 + 60 + -6x + -20x = -60 Combine like terms: 36 + 60 = 96 96 + -6x + -20x = -60 Combine like terms: -6x + -20x = -26x 96 + -26x = -60 Solving 96 + -26x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -26x = -60 + -96 Combine like terms: 96 + -96 = 0 0 + -26x = -60 + -96 -26x = -60 + -96 Combine like terms: -60 + -96 = -156 -26x = -156 Divide each side by '-26'. x = 6 Simplifying x = 6
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