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Simplifying 0.50x + 0.45(10) = 0.25(40) Multiply 0.45 * 10 0.50x + 4.5 = 0.25(40) Reorder the terms: 4.5 + 0.50x = 0.25(40) Multiply 0.25 * 40 4.5 + 0.50x = 10 Solving 4.5 + 0.50x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.50x = 10 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.50x = 10 + -4.5 0.50x = 10 + -4.5 Combine like terms: 10 + -4.5 = 5.5 0.50x = 5.5 Divide each side by '0.50'. x = 11 Simplifying x = 11
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