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Simplifying 5(x + 2) + -1(3x + -5) = 0 Reorder the terms: 5(2 + x) + -1(3x + -5) = 0 (2 * 5 + x * 5) + -1(3x + -5) = 0 (10 + 5x) + -1(3x + -5) = 0 Reorder the terms: 10 + 5x + -1(-5 + 3x) = 0 10 + 5x + (-5 * -1 + 3x * -1) = 0 10 + 5x + (5 + -3x) = 0 Reorder the terms: 10 + 5 + 5x + -3x = 0 Combine like terms: 10 + 5 = 15 15 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 15 + 2x = 0 Solving 15 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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