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Simplifying -5(4x + -9) = -3(5x + 5) Reorder the terms: -5(-9 + 4x) = -3(5x + 5) (-9 * -5 + 4x * -5) = -3(5x + 5) (45 + -20x) = -3(5x + 5) Reorder the terms: 45 + -20x = -3(5 + 5x) 45 + -20x = (5 * -3 + 5x * -3) 45 + -20x = (-15 + -15x) Solving 45 + -20x = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 45 + -20x + 15x = -15 + -15x + 15x Combine like terms: -20x + 15x = -5x 45 + -5x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 45 + -5x = -15 + 0 45 + -5x = -15 Add '-45' to each side of the equation. 45 + -45 + -5x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = -15 + -45 -5x = -15 + -45 Combine like terms: -15 + -45 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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