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Simplifying 0.5(x + 5) + 0.2(x + 25) = 25 Reorder the terms: 0.5(5 + x) + 0.2(x + 25) = 25 (5 * 0.5 + x * 0.5) + 0.2(x + 25) = 25 (2.5 + 0.5x) + 0.2(x + 25) = 25 Reorder the terms: 2.5 + 0.5x + 0.2(25 + x) = 25 2.5 + 0.5x + (25 * 0.2 + x * 0.2) = 25 2.5 + 0.5x + (5 + 0.2x) = 25 Reorder the terms: 2.5 + 5 + 0.5x + 0.2x = 25 Combine like terms: 2.5 + 5 = 7.5 7.5 + 0.5x + 0.2x = 25 Combine like terms: 0.5x + 0.2x = 0.7x 7.5 + 0.7x = 25 Solving 7.5 + 0.7x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.7x = 25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.7x = 25 + -7.5 0.7x = 25 + -7.5 Combine like terms: 25 + -7.5 = 17.5 0.7x = 17.5 Divide each side by '0.7'. x = 25 Simplifying x = 25
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