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