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Simplifying 0.12x + 0.10(15000 + -1x) = 1600 0.12x + (15000 * 0.10 + -1x * 0.10) = 1600 0.12x + (1500 + -0.1x) = 1600 Reorder the terms: 1500 + 0.12x + -0.1x = 1600 Combine like terms: 0.12x + -0.1x = 0.02x 1500 + 0.02x = 1600 Solving 1500 + 0.02x = 1600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + 0.02x = 1600 + -1500 Combine like terms: 1500 + -1500 = 0 0 + 0.02x = 1600 + -1500 0.02x = 1600 + -1500 Combine like terms: 1600 + -1500 = 100 0.02x = 100 Divide each side by '0.02'. x = 5000 Simplifying x = 5000
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