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Simplifying 12(3x + 3) + -5(2x + -3) = 16x + -9 Reorder the terms: 12(3 + 3x) + -5(2x + -3) = 16x + -9 (3 * 12 + 3x * 12) + -5(2x + -3) = 16x + -9 (36 + 36x) + -5(2x + -3) = 16x + -9 Reorder the terms: 36 + 36x + -5(-3 + 2x) = 16x + -9 36 + 36x + (-3 * -5 + 2x * -5) = 16x + -9 36 + 36x + (15 + -10x) = 16x + -9 Reorder the terms: 36 + 15 + 36x + -10x = 16x + -9 Combine like terms: 36 + 15 = 51 51 + 36x + -10x = 16x + -9 Combine like terms: 36x + -10x = 26x 51 + 26x = 16x + -9 Reorder the terms: 51 + 26x = -9 + 16x Solving 51 + 26x = -9 + 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. 51 + 26x + -16x = -9 + 16x + -16x Combine like terms: 26x + -16x = 10x 51 + 10x = -9 + 16x + -16x Combine like terms: 16x + -16x = 0 51 + 10x = -9 + 0 51 + 10x = -9 Add '-51' to each side of the equation. 51 + -51 + 10x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + 10x = -9 + -51 10x = -9 + -51 Combine like terms: -9 + -51 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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