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Simplifying 0.13x + 0.05(5000 + -1x) = 490 0.13x + (5000 * 0.05 + -1x * 0.05) = 490 0.13x + (250 + -0.05x) = 490 Reorder the terms: 250 + 0.13x + -0.05x = 490 Combine like terms: 0.13x + -0.05x = 0.08x 250 + 0.08x = 490 Solving 250 + 0.08x = 490 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 + 0.08x = 490 + -250 Combine like terms: 250 + -250 = 0 0 + 0.08x = 490 + -250 0.08x = 490 + -250 Combine like terms: 490 + -250 = 240 0.08x = 240 Divide each side by '0.08'. x = 3000 Simplifying x = 3000
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