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Simplifying 9(3x + 15) = 5(4x + -5) Reorder the terms: 9(15 + 3x) = 5(4x + -5) (15 * 9 + 3x * 9) = 5(4x + -5) (135 + 27x) = 5(4x + -5) Reorder the terms: 135 + 27x = 5(-5 + 4x) 135 + 27x = (-5 * 5 + 4x * 5) 135 + 27x = (-25 + 20x) Solving 135 + 27x = -25 + 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. 135 + 27x + -20x = -25 + 20x + -20x Combine like terms: 27x + -20x = 7x 135 + 7x = -25 + 20x + -20x Combine like terms: 20x + -20x = 0 135 + 7x = -25 + 0 135 + 7x = -25 Add '-135' to each side of the equation. 135 + -135 + 7x = -25 + -135 Combine like terms: 135 + -135 = 0 0 + 7x = -25 + -135 7x = -25 + -135 Combine like terms: -25 + -135 = -160 7x = -160 Divide each side by '7'. x = -22.85714286 Simplifying x = -22.85714286
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