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Simplifying 0.05x + 0.07(8000 + -1x) = 496 0.05x + (8000 * 0.07 + -1x * 0.07) = 496 0.05x + (560 + -0.07x) = 496 Reorder the terms: 560 + 0.05x + -0.07x = 496 Combine like terms: 0.05x + -0.07x = -0.02x 560 + -0.02x = 496 Solving 560 + -0.02x = 496 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-560' to each side of the equation. 560 + -560 + -0.02x = 496 + -560 Combine like terms: 560 + -560 = 0 0 + -0.02x = 496 + -560 -0.02x = 496 + -560 Combine like terms: 496 + -560 = -64 -0.02x = -64 Divide each side by '-0.02'. x = 3200 Simplifying x = 3200
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