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Simplifying 0.03x + 0.05(2000 + -1x) = 99.5 0.03x + (2000 * 0.05 + -1x * 0.05) = 99.5 0.03x + (100 + -0.05x) = 99.5 Reorder the terms: 100 + 0.03x + -0.05x = 99.5 Combine like terms: 0.03x + -0.05x = -0.02x 100 + -0.02x = 99.5 Solving 100 + -0.02x = 99.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -0.02x = 99.5 + -100 Combine like terms: 100 + -100 = 0 0 + -0.02x = 99.5 + -100 -0.02x = 99.5 + -100 Combine like terms: 99.5 + -100 = -0.5 -0.02x = -0.5 Divide each side by '-0.02'. x = 25 Simplifying x = 25
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