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Simplifying 12(3x + 3) + -5(2x + -4) = 16x + -14 Reorder the terms: 12(3 + 3x) + -5(2x + -4) = 16x + -14 (3 * 12 + 3x * 12) + -5(2x + -4) = 16x + -14 (36 + 36x) + -5(2x + -4) = 16x + -14 Reorder the terms: 36 + 36x + -5(-4 + 2x) = 16x + -14 36 + 36x + (-4 * -5 + 2x * -5) = 16x + -14 36 + 36x + (20 + -10x) = 16x + -14 Reorder the terms: 36 + 20 + 36x + -10x = 16x + -14 Combine like terms: 36 + 20 = 56 56 + 36x + -10x = 16x + -14 Combine like terms: 36x + -10x = 26x 56 + 26x = 16x + -14 Reorder the terms: 56 + 26x = -14 + 16x Solving 56 + 26x = -14 + 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. 56 + 26x + -16x = -14 + 16x + -16x Combine like terms: 26x + -16x = 10x 56 + 10x = -14 + 16x + -16x Combine like terms: 16x + -16x = 0 56 + 10x = -14 + 0 56 + 10x = -14 Add '-56' to each side of the equation. 56 + -56 + 10x = -14 + -56 Combine like terms: 56 + -56 = 0 0 + 10x = -14 + -56 10x = -14 + -56 Combine like terms: -14 + -56 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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