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Simplifying 5(x + 3) + -1(3x + -5) = 0 Reorder the terms: 5(3 + x) + -1(3x + -5) = 0 (3 * 5 + x * 5) + -1(3x + -5) = 0 (15 + 5x) + -1(3x + -5) = 0 Reorder the terms: 15 + 5x + -1(-5 + 3x) = 0 15 + 5x + (-5 * -1 + 3x * -1) = 0 15 + 5x + (5 + -3x) = 0 Reorder the terms: 15 + 5 + 5x + -3x = 0 Combine like terms: 15 + 5 = 20 20 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 20 + 2x = 0 Solving 20 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 0 + -20 2x = 0 + -20 Combine like terms: 0 + -20 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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