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Simplifying 5(x + 3) + -1(3x + -8) = 0 Reorder the terms: 5(3 + x) + -1(3x + -8) = 0 (3 * 5 + x * 5) + -1(3x + -8) = 0 (15 + 5x) + -1(3x + -8) = 0 Reorder the terms: 15 + 5x + -1(-8 + 3x) = 0 15 + 5x + (-8 * -1 + 3x * -1) = 0 15 + 5x + (8 + -3x) = 0 Reorder the terms: 15 + 8 + 5x + -3x = 0 Combine like terms: 15 + 8 = 23 23 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 23 + 2x = 0 Solving 23 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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