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Simplifying 0.50x + 0.40(10) = 0.25(74) Multiply 0.40 * 10 0.50x + 4 = 0.25(74) Reorder the terms: 4 + 0.50x = 0.25(74) Multiply 0.25 * 74 4 + 0.50x = 18.5 Solving 4 + 0.50x = 18.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.50x = 18.5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.50x = 18.5 + -4 0.50x = 18.5 + -4 Combine like terms: 18.5 + -4 = 14.5 0.50x = 14.5 Divide each side by '0.50'. x = 29 Simplifying x = 29
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