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Simplifying 0.50x + 0.75(20) = 0.25(102) Multiply 0.75 * 20 0.50x + 15 = 0.25(102) Reorder the terms: 15 + 0.50x = 0.25(102) Multiply 0.25 * 102 15 + 0.50x = 25.5 Solving 15 + 0.50x = 25.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.50x = 25.5 + -15 Combine like terms: 15 + -15 = 0 0 + 0.50x = 25.5 + -15 0.50x = 25.5 + -15 Combine like terms: 25.5 + -15 = 10.5 0.50x = 10.5 Divide each side by '0.50'. x = 21 Simplifying x = 21
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