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Simplifying 1800 = 0.05x + 0.10(20000 + -1x) 1800 = 0.05x + (20000 * 0.10 + -1x * 0.10) 1800 = 0.05x + (2000 + -0.1x) Reorder the terms: 1800 = 2000 + 0.05x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 1800 = 2000 + -0.05x Solving 1800 = 2000 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 1800 + 0.05x = 2000 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 1800 + 0.05x = 2000 + 0.00 1800 + 0.05x = 2000 Add '-1800' to each side of the equation. 1800 + -1800 + 0.05x = 2000 + -1800 Combine like terms: 1800 + -1800 = 0 0 + 0.05x = 2000 + -1800 0.05x = 2000 + -1800 Combine like terms: 2000 + -1800 = 200 0.05x = 200 Divide each side by '0.05'. x = 4000 Simplifying x = 4000
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