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Simplifying 12(3x + 5) + -5(2x + -2) = 6x + -30 Reorder the terms: 12(5 + 3x) + -5(2x + -2) = 6x + -30 (5 * 12 + 3x * 12) + -5(2x + -2) = 6x + -30 (60 + 36x) + -5(2x + -2) = 6x + -30 Reorder the terms: 60 + 36x + -5(-2 + 2x) = 6x + -30 60 + 36x + (-2 * -5 + 2x * -5) = 6x + -30 60 + 36x + (10 + -10x) = 6x + -30 Reorder the terms: 60 + 10 + 36x + -10x = 6x + -30 Combine like terms: 60 + 10 = 70 70 + 36x + -10x = 6x + -30 Combine like terms: 36x + -10x = 26x 70 + 26x = 6x + -30 Reorder the terms: 70 + 26x = -30 + 6x Solving 70 + 26x = -30 + 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. 70 + 26x + -6x = -30 + 6x + -6x Combine like terms: 26x + -6x = 20x 70 + 20x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 70 + 20x = -30 + 0 70 + 20x = -30 Add '-70' to each side of the equation. 70 + -70 + 20x = -30 + -70 Combine like terms: 70 + -70 = 0 0 + 20x = -30 + -70 20x = -30 + -70 Combine like terms: -30 + -70 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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