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Simplifying 12(3x + 3) + -5(2x + -2) = 16x + -24 Reorder the terms: 12(3 + 3x) + -5(2x + -2) = 16x + -24 (3 * 12 + 3x * 12) + -5(2x + -2) = 16x + -24 (36 + 36x) + -5(2x + -2) = 16x + -24 Reorder the terms: 36 + 36x + -5(-2 + 2x) = 16x + -24 36 + 36x + (-2 * -5 + 2x * -5) = 16x + -24 36 + 36x + (10 + -10x) = 16x + -24 Reorder the terms: 36 + 10 + 36x + -10x = 16x + -24 Combine like terms: 36 + 10 = 46 46 + 36x + -10x = 16x + -24 Combine like terms: 36x + -10x = 26x 46 + 26x = 16x + -24 Reorder the terms: 46 + 26x = -24 + 16x Solving 46 + 26x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 46 + 26x + -16x = -24 + 16x + -16x Combine like terms: 26x + -16x = 10x 46 + 10x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 46 + 10x = -24 + 0 46 + 10x = -24 Add '-46' to each side of the equation. 46 + -46 + 10x = -24 + -46 Combine like terms: 46 + -46 = 0 0 + 10x = -24 + -46 10x = -24 + -46 Combine like terms: -24 + -46 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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