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Simplifying 3x + -3(x + -5) = 5(x + -2) Reorder the terms: 3x + -3(-5 + x) = 5(x + -2) 3x + (-5 * -3 + x * -3) = 5(x + -2) 3x + (15 + -3x) = 5(x + -2) Reorder the terms: 15 + 3x + -3x = 5(x + -2) Combine like terms: 3x + -3x = 0 15 + 0 = 5(x + -2) 15 = 5(x + -2) Reorder the terms: 15 = 5(-2 + x) 15 = (-2 * 5 + x * 5) 15 = (-10 + 5x) Solving 15 = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -5x = -10 + 0 15 + -5x = -10 Add '-15' to each side of the equation. 15 + -15 + -5x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -10 + -15 -5x = -10 + -15 Combine like terms: -10 + -15 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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