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Simplifying 0.03x + 0.1(200 + -1x) = 0.05(200) 0.03x + (200 * 0.1 + -1x * 0.1) = 0.05(200) 0.03x + (20 + -0.1x) = 0.05(200) Reorder the terms: 20 + 0.03x + -0.1x = 0.05(200) Combine like terms: 0.03x + -0.1x = -0.07x 20 + -0.07x = 0.05(200) Multiply 0.05 * 200 20 + -0.07x = 10 Solving 20 + -0.07x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -0.07x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -0.07x = 10 + -20 -0.07x = 10 + -20 Combine like terms: 10 + -20 = -10 -0.07x = -10 Divide each side by '-0.07'. x = 142.8571429 Simplifying x = 142.8571429
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