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Simplifying 5(x + -3) = 2x + 13(x + -5) Reorder the terms: 5(-3 + x) = 2x + 13(x + -5) (-3 * 5 + x * 5) = 2x + 13(x + -5) (-15 + 5x) = 2x + 13(x + -5) Reorder the terms: -15 + 5x = 2x + 13(-5 + x) -15 + 5x = 2x + (-5 * 13 + x * 13) -15 + 5x = 2x + (-65 + 13x) Reorder the terms: -15 + 5x = -65 + 2x + 13x Combine like terms: 2x + 13x = 15x -15 + 5x = -65 + 15x Solving -15 + 5x = -65 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 5x + -15x = -65 + 15x + -15x Combine like terms: 5x + -15x = -10x -15 + -10x = -65 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -10x = -65 + 0 -15 + -10x = -65 Add '15' to each side of the equation. -15 + 15 + -10x = -65 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -65 + 15 -10x = -65 + 15 Combine like terms: -65 + 15 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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