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Simplifying 0.05x + 0.10(5000 + -1x) = 0.20x 0.05x + (5000 * 0.10 + -1x * 0.10) = 0.20x 0.05x + (500 + -0.1x) = 0.20x Reorder the terms: 500 + 0.05x + -0.1x = 0.20x Combine like terms: 0.05x + -0.1x = -0.05x 500 + -0.05x = 0.20x Solving 500 + -0.05x = 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 500 + -0.05x + -0.20x = 0.20x + -0.20x Combine like terms: -0.05x + -0.20x = -0.25x 500 + -0.25x = 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 500 + -0.25x = 0.00 Add '-500' to each side of the equation. 500 + -500 + -0.25x = 0.00 + -500 Combine like terms: 500 + -500 = 0 0 + -0.25x = 0.00 + -500 -0.25x = 0.00 + -500 Combine like terms: 0.00 + -500 = -500 -0.25x = -500 Divide each side by '-0.25'. x = 2000 Simplifying x = 2000
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