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Simplifying 15(4x + 1) = 25(2x + -3) Reorder the terms: 15(1 + 4x) = 25(2x + -3) (1 * 15 + 4x * 15) = 25(2x + -3) (15 + 60x) = 25(2x + -3) Reorder the terms: 15 + 60x = 25(-3 + 2x) 15 + 60x = (-3 * 25 + 2x * 25) 15 + 60x = (-75 + 50x) Solving 15 + 60x = -75 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 15 + 60x + -50x = -75 + 50x + -50x Combine like terms: 60x + -50x = 10x 15 + 10x = -75 + 50x + -50x Combine like terms: 50x + -50x = 0 15 + 10x = -75 + 0 15 + 10x = -75 Add '-15' to each side of the equation. 15 + -15 + 10x = -75 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = -75 + -15 10x = -75 + -15 Combine like terms: -75 + -15 = -90 10x = -90 Divide each side by '10'. x = -9 Simplifying x = -9
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