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Simplifying 0.04x + 0.03(5000 + x) = 180 0.04x + (5000 * 0.03 + x * 0.03) = 180 0.04x + (150 + 0.03x) = 180 Reorder the terms: 150 + 0.04x + 0.03x = 180 Combine like terms: 0.04x + 0.03x = 0.07x 150 + 0.07x = 180 Solving 150 + 0.07x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 0.07x = 180 + -150 Combine like terms: 150 + -150 = 0 0 + 0.07x = 180 + -150 0.07x = 180 + -150 Combine like terms: 180 + -150 = 30 0.07x = 30 Divide each side by '0.07'. x = 428.5714286 Simplifying x = 428.5714286
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