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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 = 16 16 + 36x + -10x = 16x + -14 Combine like terms: 36x + -10x = 26x 16 + 26x = 16x + -14 Reorder the terms: 16 + 26x = -14 + 16x Solving 16 + 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. 16 + 26x + -16x = -14 + 16x + -16x Combine like terms: 26x + -16x = 10x 16 + 10x = -14 + 16x + -16x Combine like terms: 16x + -16x = 0 16 + 10x = -14 + 0 16 + 10x = -14 Add '-16' to each side of the equation. 16 + -16 + 10x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = -14 + -16 10x = -14 + -16 Combine like terms: -14 + -16 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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