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Simplifying 0.10(250 + x) = 5000 (250 * 0.10 + x * 0.10) = 5000 (25 + 0.10x) = 5000 Solving 25 + 0.10x = 5000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.10x = 5000 + -25 Combine like terms: 25 + -25 = 0 0 + 0.10x = 5000 + -25 0.10x = 5000 + -25 Combine like terms: 5000 + -25 = 4975 0.10x = 4975 Divide each side by '0.10'. x = 49750 Simplifying x = 49750
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