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Simplifying 0.05x + 0.08(7000 + -1x) = 500 0.05x + (7000 * 0.08 + -1x * 0.08) = 500 0.05x + (560 + -0.08x) = 500 Reorder the terms: 560 + 0.05x + -0.08x = 500 Combine like terms: 0.05x + -0.08x = -0.03x 560 + -0.03x = 500 Solving 560 + -0.03x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-560' to each side of the equation. 560 + -560 + -0.03x = 500 + -560 Combine like terms: 560 + -560 = 0 0 + -0.03x = 500 + -560 -0.03x = 500 + -560 Combine like terms: 500 + -560 = -60 -0.03x = -60 Divide each side by '-0.03'. x = 2000 Simplifying x = 2000
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