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Simplifying 0.12x + 0.1(5000 + -1x) = 560 0.12x + (5000 * 0.1 + -1x * 0.1) = 560 0.12x + (500 + -0.1x) = 560 Reorder the terms: 500 + 0.12x + -0.1x = 560 Combine like terms: 0.12x + -0.1x = 0.02x 500 + 0.02x = 560 Solving 500 + 0.02x = 560 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 = 560 + -500 Combine like terms: 500 + -500 = 0 0 + 0.02x = 560 + -500 0.02x = 560 + -500 Combine like terms: 560 + -500 = 60 0.02x = 60 Divide each side by '0.02'. x = 3000 Simplifying x = 3000
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