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Simplifying 3(4x + -5) = 5(2x + -5) Reorder the terms: 3(-5 + 4x) = 5(2x + -5) (-5 * 3 + 4x * 3) = 5(2x + -5) (-15 + 12x) = 5(2x + -5) Reorder the terms: -15 + 12x = 5(-5 + 2x) -15 + 12x = (-5 * 5 + 2x * 5) -15 + 12x = (-25 + 10x) Solving -15 + 12x = -25 + 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. -15 + 12x + -10x = -25 + 10x + -10x Combine like terms: 12x + -10x = 2x -15 + 2x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 2x = -25 + 0 -15 + 2x = -25 Add '15' to each side of the equation. -15 + 15 + 2x = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -25 + 15 2x = -25 + 15 Combine like terms: -25 + 15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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