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Simplifying 12(3x + 6) + -5(2x + -2) = 6x + -38 Reorder the terms: 12(6 + 3x) + -5(2x + -2) = 6x + -38 (6 * 12 + 3x * 12) + -5(2x + -2) = 6x + -38 (72 + 36x) + -5(2x + -2) = 6x + -38 Reorder the terms: 72 + 36x + -5(-2 + 2x) = 6x + -38 72 + 36x + (-2 * -5 + 2x * -5) = 6x + -38 72 + 36x + (10 + -10x) = 6x + -38 Reorder the terms: 72 + 10 + 36x + -10x = 6x + -38 Combine like terms: 72 + 10 = 82 82 + 36x + -10x = 6x + -38 Combine like terms: 36x + -10x = 26x 82 + 26x = 6x + -38 Reorder the terms: 82 + 26x = -38 + 6x Solving 82 + 26x = -38 + 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. 82 + 26x + -6x = -38 + 6x + -6x Combine like terms: 26x + -6x = 20x 82 + 20x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 82 + 20x = -38 + 0 82 + 20x = -38 Add '-82' to each side of the equation. 82 + -82 + 20x = -38 + -82 Combine like terms: 82 + -82 = 0 0 + 20x = -38 + -82 20x = -38 + -82 Combine like terms: -38 + -82 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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