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Simplifying 0.05x + 0.1(1000 + -1x) = 75 0.05x + (1000 * 0.1 + -1x * 0.1) = 75 0.05x + (100 + -0.1x) = 75 Reorder the terms: 100 + 0.05x + -0.1x = 75 Combine like terms: 0.05x + -0.1x = -0.05x 100 + -0.05x = 75 Solving 100 + -0.05x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -0.05x = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -0.05x = 75 + -100 -0.05x = 75 + -100 Combine like terms: 75 + -100 = -25 -0.05x = -25 Divide each side by '-0.05'. x = 500 Simplifying x = 500
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