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Simplifying 0.5(x + 15) + 0.2(x + 25) = 16 Reorder the terms: 0.5(15 + x) + 0.2(x + 25) = 16 (15 * 0.5 + x * 0.5) + 0.2(x + 25) = 16 (7.5 + 0.5x) + 0.2(x + 25) = 16 Reorder the terms: 7.5 + 0.5x + 0.2(25 + x) = 16 7.5 + 0.5x + (25 * 0.2 + x * 0.2) = 16 7.5 + 0.5x + (5 + 0.2x) = 16 Reorder the terms: 7.5 + 5 + 0.5x + 0.2x = 16 Combine like terms: 7.5 + 5 = 12.5 12.5 + 0.5x + 0.2x = 16 Combine like terms: 0.5x + 0.2x = 0.7x 12.5 + 0.7x = 16 Solving 12.5 + 0.7x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.7x = 16 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.7x = 16 + -12.5 0.7x = 16 + -12.5 Combine like terms: 16 + -12.5 = 3.5 0.7x = 3.5 Divide each side by '0.7'. x = 5 Simplifying x = 5
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