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Simplifying 0.1x = 25 + 0.05(x + -200) Reorder the terms: 0.1x = 25 + 0.05(-200 + x) 0.1x = 25 + (-200 * 0.05 + x * 0.05) 0.1x = 25 + (-10 + 0.05x) Combine like terms: 25 + -10 = 15 0.1x = 15 + 0.05x Solving 0.1x = 15 + 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. 0.1x + -0.05x = 15 + 0.05x + -0.05x Combine like terms: 0.1x + -0.05x = 0.05x 0.05x = 15 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.05x = 15 + 0.00 0.05x = 15 Divide each side by '0.05'. x = 300 Simplifying x = 300
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