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Simplifying 0.05x + 0.13(10000 + -1x) = 0 0.05x + (10000 * 0.13 + -1x * 0.13) = 0 0.05x + (1300 + -0.13x) = 0 Reorder the terms: 1300 + 0.05x + -0.13x = 0 Combine like terms: 0.05x + -0.13x = -0.08x 1300 + -0.08x = 0 Solving 1300 + -0.08x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1300' to each side of the equation. 1300 + -1300 + -0.08x = 0 + -1300 Combine like terms: 1300 + -1300 = 0 0 + -0.08x = 0 + -1300 -0.08x = 0 + -1300 Combine like terms: 0 + -1300 = -1300 -0.08x = -1300 Divide each side by '-0.08'. x = 16250 Simplifying x = 16250
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