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Simplifying 9(3x + 12) = 10(2x + 15) Reorder the terms: 9(12 + 3x) = 10(2x + 15) (12 * 9 + 3x * 9) = 10(2x + 15) (108 + 27x) = 10(2x + 15) Reorder the terms: 108 + 27x = 10(15 + 2x) 108 + 27x = (15 * 10 + 2x * 10) 108 + 27x = (150 + 20x) Solving 108 + 27x = 150 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 108 + 27x + -20x = 150 + 20x + -20x Combine like terms: 27x + -20x = 7x 108 + 7x = 150 + 20x + -20x Combine like terms: 20x + -20x = 0 108 + 7x = 150 + 0 108 + 7x = 150 Add '-108' to each side of the equation. 108 + -108 + 7x = 150 + -108 Combine like terms: 108 + -108 = 0 0 + 7x = 150 + -108 7x = 150 + -108 Combine like terms: 150 + -108 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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