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Simplifying 12(3x + 3) + -5(2x + -2) = 6x + -54 Reorder the terms: 12(3 + 3x) + -5(2x + -2) = 6x + -54 (3 * 12 + 3x * 12) + -5(2x + -2) = 6x + -54 (36 + 36x) + -5(2x + -2) = 6x + -54 Reorder the terms: 36 + 36x + -5(-2 + 2x) = 6x + -54 36 + 36x + (-2 * -5 + 2x * -5) = 6x + -54 36 + 36x + (10 + -10x) = 6x + -54 Reorder the terms: 36 + 10 + 36x + -10x = 6x + -54 Combine like terms: 36 + 10 = 46 46 + 36x + -10x = 6x + -54 Combine like terms: 36x + -10x = 26x 46 + 26x = 6x + -54 Reorder the terms: 46 + 26x = -54 + 6x Solving 46 + 26x = -54 + 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. 46 + 26x + -6x = -54 + 6x + -6x Combine like terms: 26x + -6x = 20x 46 + 20x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + 20x = -54 + 0 46 + 20x = -54 Add '-46' to each side of the equation. 46 + -46 + 20x = -54 + -46 Combine like terms: 46 + -46 = 0 0 + 20x = -54 + -46 20x = -54 + -46 Combine like terms: -54 + -46 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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