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Simplifying 5(x + 3) = 3(x + -5) Reorder the terms: 5(3 + x) = 3(x + -5) (3 * 5 + x * 5) = 3(x + -5) (15 + 5x) = 3(x + -5) Reorder the terms: 15 + 5x = 3(-5 + x) 15 + 5x = (-5 * 3 + x * 3) 15 + 5x = (-15 + 3x) Solving 15 + 5x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = -15 + 0 15 + 2x = -15 Add '-15' to each side of the equation. 15 + -15 + 2x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -15 + -15 2x = -15 + -15 Combine like terms: -15 + -15 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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