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Simplifying 0.08x + 0.04(5000 + -1x) = 280 0.08x + (5000 * 0.04 + -1x * 0.04) = 280 0.08x + (200 + -0.04x) = 280 Reorder the terms: 200 + 0.08x + -0.04x = 280 Combine like terms: 0.08x + -0.04x = 0.04x 200 + 0.04x = 280 Solving 200 + 0.04x = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 0.04x = 280 + -200 Combine like terms: 200 + -200 = 0 0 + 0.04x = 280 + -200 0.04x = 280 + -200 Combine like terms: 280 + -200 = 80 0.04x = 80 Divide each side by '0.04'. x = 2000 Simplifying x = 2000
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