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Simplifying 3(4x + 1) = -5(5x + -3) Reorder the terms: 3(1 + 4x) = -5(5x + -3) (1 * 3 + 4x * 3) = -5(5x + -3) (3 + 12x) = -5(5x + -3) Reorder the terms: 3 + 12x = -5(-3 + 5x) 3 + 12x = (-3 * -5 + 5x * -5) 3 + 12x = (15 + -25x) Solving 3 + 12x = 15 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 3 + 12x + 25x = 15 + -25x + 25x Combine like terms: 12x + 25x = 37x 3 + 37x = 15 + -25x + 25x Combine like terms: -25x + 25x = 0 3 + 37x = 15 + 0 3 + 37x = 15 Add '-3' to each side of the equation. 3 + -3 + 37x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 37x = 15 + -3 37x = 15 + -3 Combine like terms: 15 + -3 = 12 37x = 12 Divide each side by '37'. x = 0.3243243243 Simplifying x = 0.3243243243
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