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Simplifying 0.05(10000 + -1x) + 0.07x = 640 (10000 * 0.05 + -1x * 0.05) + 0.07x = 640 (500 + -0.05x) + 0.07x = 640 Combine like terms: -0.05x + 0.07x = 0.02x 500 + 0.02x = 640 Solving 500 + 0.02x = 640 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 0.02x = 640 + -500 Combine like terms: 500 + -500 = 0 0 + 0.02x = 640 + -500 0.02x = 640 + -500 Combine like terms: 640 + -500 = 140 0.02x = 140 Divide each side by '0.02'. x = 7000 Simplifying x = 7000
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