1. **State the problem:** Simplify the expression $$\frac{50x}{930,965 - 20x - 350,877}$$. 2. **Rewrite the denominator:** Combine the constants in the denominator: $$930,965 - 350,877 = 580,088$$ So the expression becomes: $$\frac{50x}{580,088 - 20x}$$ 3. **Factor the denominator if possible:** Factor out 20 from the denominator: $$580,088 - 20x = 20 \times \left(\frac{580,088}{20} - x\right) = 20(29,004.4 - x)$$ 4. **Rewrite the expression using the factorization:** $$\frac{50x}{20(29,004.4 - x)}$$ 5. **Simplify the fraction by canceling common factors:** $$\frac{\cancel{50}x}{\cancel{20}(29,004.4 - x)} = \frac{5x}{2(29,004.4 - x)}$$ 6. **Final simplified expression:** $$\frac{5x}{2(29,004.4 - x)}$$ This is the simplified form of the original expression.