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Simplifying x(0.06) + (5000 + -1x)(0.05) = 280 Reorder the terms for easier multiplication: 0.06x + (5000 + -1x)(0.05) = 280 Reorder the terms for easier multiplication: 0.06x + 0.05(5000 + -1x) = 280 0.06x + (5000 * 0.05 + -1x * 0.05) = 280 0.06x + (250 + -0.05x) = 280 Reorder the terms: 250 + 0.06x + -0.05x = 280 Combine like terms: 0.06x + -0.05x = 0.01x 250 + 0.01x = 280 Solving 250 + 0.01x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + 0.01x = 280 + -250 Combine like terms: 250 + -250 = 0 0 + 0.01x = 280 + -250 0.01x = 280 + -250 Combine like terms: 280 + -250 = 30 0.01x = 30 Divide each side by '0.01'. x = 3000 Simplifying x = 3000
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