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Simplifying 2.5(4x + 5) + -2(2.5x + 1.5) = 0 Reorder the terms: 2.5(5 + 4x) + -2(2.5x + 1.5) = 0 (5 * 2.5 + 4x * 2.5) + -2(2.5x + 1.5) = 0 (12.5 + 10x) + -2(2.5x + 1.5) = 0 Reorder the terms: 12.5 + 10x + -2(1.5 + 2.5x) = 0 12.5 + 10x + (1.5 * -2 + 2.5x * -2) = 0 12.5 + 10x + (-3 + -5x) = 0 Reorder the terms: 12.5 + -3 + 10x + -5x = 0 Combine like terms: 12.5 + -3 = 9.5 9.5 + 10x + -5x = 0 Combine like terms: 10x + -5x = 5x 9.5 + 5x = 0 Solving 9.5 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + 5x = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 5x = 0 + -9.5 5x = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 5x = -9.5 Divide each side by '5'. x = -1.9 Simplifying x = -1.9
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