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Simplifying 0.10x + -0.05(38000 + -1x) = 800 0.10x + (38000 * -0.05 + -1x * -0.05) = 800 0.10x + (-1900 + 0.05x) = 800 Reorder the terms: -1900 + 0.10x + 0.05x = 800 Combine like terms: 0.10x + 0.05x = 0.15x -1900 + 0.15x = 800 Solving -1900 + 0.15x = 800 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1900' to each side of the equation. -1900 + 1900 + 0.15x = 800 + 1900 Combine like terms: -1900 + 1900 = 0 0 + 0.15x = 800 + 1900 0.15x = 800 + 1900 Combine like terms: 800 + 1900 = 2700 0.15x = 2700 Divide each side by '0.15'. x = 18000 Simplifying x = 18000
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