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Simplifying 9(3x + 12) = 5(4x + -9) Reorder the terms: 9(12 + 3x) = 5(4x + -9) (12 * 9 + 3x * 9) = 5(4x + -9) (108 + 27x) = 5(4x + -9) Reorder the terms: 108 + 27x = 5(-9 + 4x) 108 + 27x = (-9 * 5 + 4x * 5) 108 + 27x = (-45 + 20x) Solving 108 + 27x = -45 + 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 = -45 + 20x + -20x Combine like terms: 27x + -20x = 7x 108 + 7x = -45 + 20x + -20x Combine like terms: 20x + -20x = 0 108 + 7x = -45 + 0 108 + 7x = -45 Add '-108' to each side of the equation. 108 + -108 + 7x = -45 + -108 Combine like terms: 108 + -108 = 0 0 + 7x = -45 + -108 7x = -45 + -108 Combine like terms: -45 + -108 = -153 7x = -153 Divide each side by '7'. x = -21.85714286 Simplifying x = -21.85714286
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