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Simplifying 3(5x + 4) = -5(4x + -3) Reorder the terms: 3(4 + 5x) = -5(4x + -3) (4 * 3 + 5x * 3) = -5(4x + -3) (12 + 15x) = -5(4x + -3) Reorder the terms: 12 + 15x = -5(-3 + 4x) 12 + 15x = (-3 * -5 + 4x * -5) 12 + 15x = (15 + -20x) Solving 12 + 15x = 15 + -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. 12 + 15x + 20x = 15 + -20x + 20x Combine like terms: 15x + 20x = 35x 12 + 35x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 35x = 15 + 0 12 + 35x = 15 Add '-12' to each side of the equation. 12 + -12 + 35x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 35x = 15 + -12 35x = 15 + -12 Combine like terms: 15 + -12 = 3 35x = 3 Divide each side by '35'. x = 0.08571428571 Simplifying x = 0.08571428571
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