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Simplifying 2(4x + 5) + -3(2x + -5) = 0 Reorder the terms: 2(5 + 4x) + -3(2x + -5) = 0 (5 * 2 + 4x * 2) + -3(2x + -5) = 0 (10 + 8x) + -3(2x + -5) = 0 Reorder the terms: 10 + 8x + -3(-5 + 2x) = 0 10 + 8x + (-5 * -3 + 2x * -3) = 0 10 + 8x + (15 + -6x) = 0 Reorder the terms: 10 + 15 + 8x + -6x = 0 Combine like terms: 10 + 15 = 25 25 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 25 + 2x = 0 Solving 25 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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