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Simplifying 12(2x + 3) + 2(12 + -13x) = -20 Reorder the terms: 12(3 + 2x) + 2(12 + -13x) = -20 (3 * 12 + 2x * 12) + 2(12 + -13x) = -20 (36 + 24x) + 2(12 + -13x) = -20 36 + 24x + (12 * 2 + -13x * 2) = -20 36 + 24x + (24 + -26x) = -20 Reorder the terms: 36 + 24 + 24x + -26x = -20 Combine like terms: 36 + 24 = 60 60 + 24x + -26x = -20 Combine like terms: 24x + -26x = -2x 60 + -2x = -20 Solving 60 + -2x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -2x = -20 + -60 Combine like terms: 60 + -60 = 0 0 + -2x = -20 + -60 -2x = -20 + -60 Combine like terms: -20 + -60 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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