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Simplifying 0.05x + 0.12(10000 + -1x) = 0 0.05x + (10000 * 0.12 + -1x * 0.12) = 0 0.05x + (1200 + -0.12x) = 0 Reorder the terms: 1200 + 0.05x + -0.12x = 0 Combine like terms: 0.05x + -0.12x = -0.07x 1200 + -0.07x = 0 Solving 1200 + -0.07x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + -0.07x = 0 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -0.07x = 0 + -1200 -0.07x = 0 + -1200 Combine like terms: 0 + -1200 = -1200 -0.07x = -1200 Divide each side by '-0.07'. x = 17142.85714 Simplifying x = 17142.85714
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