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Simplifying 0.03x + 0.05(x + 200) = 426 Reorder the terms: 0.03x + 0.05(200 + x) = 426 0.03x + (200 * 0.05 + x * 0.05) = 426 0.03x + (10 + 0.05x) = 426 Reorder the terms: 10 + 0.03x + 0.05x = 426 Combine like terms: 0.03x + 0.05x = 0.08x 10 + 0.08x = 426 Solving 10 + 0.08x = 426 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.08x = 426 + -10 Combine like terms: 10 + -10 = 0 0 + 0.08x = 426 + -10 0.08x = 426 + -10 Combine like terms: 426 + -10 = 416 0.08x = 416 Divide each side by '0.08'. x = 5200 Simplifying x = 5200
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