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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 = -1x 15 + -1x = 5(2x + 3) Reorder the terms: 15 + -1x = 5(3 + 2x) 15 + -1x = (3 * 5 + 2x * 5) 15 + -1x = (15 + 10x) Add '-15' to each side of the equation. 15 + -15 + -1x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 0 + -1x = 15 + -15 + 10x -1x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 -1x = 0 + 10x -1x = 10x Solving -1x = 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. -1x + -10x = 10x + -10x Combine like terms: -1x + -10x = -11x -11x = 10x + -10x Combine like terms: 10x + -10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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