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Simplifying (0.08) * x + 0.05(8000 + -1x) = 500 0.08x + (8000 * 0.05 + -1x * 0.05) = 500 0.08x + (400 + -0.05x) = 500 Reorder the terms: 400 + 0.08x + -0.05x = 500 Combine like terms: 0.08x + -0.05x = 0.03x 400 + 0.03x = 500 Solving 400 + 0.03x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 0.03x = 500 + -400 Combine like terms: 400 + -400 = 0 0 + 0.03x = 500 + -400 0.03x = 500 + -400 Combine like terms: 500 + -400 = 100 0.03x = 100 Divide each side by '0.03'. x = 3333.333333 Simplifying x = 3333.333333
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