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Simplifying 0.16x + 0.02(x + 5000) = 1540 Reorder the terms: 0.16x + 0.02(5000 + x) = 1540 0.16x + (5000 * 0.02 + x * 0.02) = 1540 0.16x + (100 + 0.02x) = 1540 Reorder the terms: 100 + 0.16x + 0.02x = 1540 Combine like terms: 0.16x + 0.02x = 0.18x 100 + 0.18x = 1540 Solving 100 + 0.18x = 1540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 0.18x = 1540 + -100 Combine like terms: 100 + -100 = 0 0 + 0.18x = 1540 + -100 0.18x = 1540 + -100 Combine like terms: 1540 + -100 = 1440 0.18x = 1440 Divide each side by '0.18'. x = 8000 Simplifying x = 8000
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