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Simplifying 0.10x + 0.20(6000 + -1x) = 1000 0.10x + (6000 * 0.20 + -1x * 0.20) = 1000 0.10x + (1200 + -0.2x) = 1000 Reorder the terms: 1200 + 0.10x + -0.2x = 1000 Combine like terms: 0.10x + -0.2x = -0.1x 1200 + -0.1x = 1000 Solving 1200 + -0.1x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + -0.1x = 1000 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -0.1x = 1000 + -1200 -0.1x = 1000 + -1200 Combine like terms: 1000 + -1200 = -200 -0.1x = -200 Divide each side by '-0.1'. x = 2000 Simplifying x = 2000
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