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