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Simplifying 0.1x + 0.15(8000 + -1x) = 1100 0.1x + (8000 * 0.15 + -1x * 0.15) = 1100 0.1x + (1200 + -0.15x) = 1100 Reorder the terms: 1200 + 0.1x + -0.15x = 1100 Combine like terms: 0.1x + -0.15x = -0.05x 1200 + -0.05x = 1100 Solving 1200 + -0.05x = 1100 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 + -0.05x = 1100 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -0.05x = 1100 + -1200 -0.05x = 1100 + -1200 Combine like terms: 1100 + -1200 = -100 -0.05x = -100 Divide each side by '-0.05'. x = 2000 Simplifying x = 2000
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