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Simplifying 0.50x + 0.40(50) = 0.25(140) Multiply 0.40 * 50 0.50x + 20 = 0.25(140) Reorder the terms: 20 + 0.50x = 0.25(140) Multiply 0.25 * 140 20 + 0.50x = 35 Solving 20 + 0.50x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.50x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 0.50x = 35 + -20 0.50x = 35 + -20 Combine like terms: 35 + -20 = 15 0.50x = 15 Divide each side by '0.50'. x = 30 Simplifying x = 30
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