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Simplifying 5(2x + 3) + -1(2x + -5) = 0 Reorder the terms: 5(3 + 2x) + -1(2x + -5) = 0 (3 * 5 + 2x * 5) + -1(2x + -5) = 0 (15 + 10x) + -1(2x + -5) = 0 Reorder the terms: 15 + 10x + -1(-5 + 2x) = 0 15 + 10x + (-5 * -1 + 2x * -1) = 0 15 + 10x + (5 + -2x) = 0 Reorder the terms: 15 + 5 + 10x + -2x = 0 Combine like terms: 15 + 5 = 20 20 + 10x + -2x = 0 Combine like terms: 10x + -2x = 8x 20 + 8x = 0 Solving 20 + 8x = 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 + 8x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 0 + -20 8x = 0 + -20 Combine like terms: 0 + -20 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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