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Simplifying 3x + -1(-2x + 5) = 5(2x + -25) Reorder the terms: 3x + -1(5 + -2x) = 5(2x + -25) 3x + (5 * -1 + -2x * -1) = 5(2x + -25) 3x + (-5 + 2x) = 5(2x + -25) Reorder the terms: -5 + 3x + 2x = 5(2x + -25) Combine like terms: 3x + 2x = 5x -5 + 5x = 5(2x + -25) Reorder the terms: -5 + 5x = 5(-25 + 2x) -5 + 5x = (-25 * 5 + 2x * 5) -5 + 5x = (-125 + 10x) Solving -5 + 5x = -125 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 5x + -10x = -125 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = -125 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = -125 + 0 -5 + -5x = -125 Add '5' to each side of the equation. -5 + 5 + -5x = -125 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -125 + 5 -5x = -125 + 5 Combine like terms: -125 + 5 = -120 -5x = -120 Divide each side by '-5'. x = 24 Simplifying x = 24
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