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Simplifying 0.05x + 0.06(x + 10000) = 3900 Reorder the terms: 0.05x + 0.06(10000 + x) = 3900 0.05x + (10000 * 0.06 + x * 0.06) = 3900 0.05x + (600 + 0.06x) = 3900 Reorder the terms: 600 + 0.05x + 0.06x = 3900 Combine like terms: 0.05x + 0.06x = 0.11x 600 + 0.11x = 3900 Solving 600 + 0.11x = 3900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + 0.11x = 3900 + -600 Combine like terms: 600 + -600 = 0 0 + 0.11x = 3900 + -600 0.11x = 3900 + -600 Combine like terms: 3900 + -600 = 3300 0.11x = 3300 Divide each side by '0.11'. x = 30000 Simplifying x = 30000
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