1. **State the problem:** Solve the equation $125.4 - x = 63 + \frac{1000}{50}$ for $x$. 2. **Calculate the division on the right side:** $$\frac{1000}{50} = 20$$ So the equation becomes: $$125.4 - x = 63 + 20$$ 3. **Simplify the right side:** $$125.4 - x = 83$$ 4. **Isolate $x$ by subtracting 125.4 from both sides:** $$125.4 - x - 125.4 = 83 - 125.4$$ $$\cancel{125.4} - x - \cancel{125.4} = 83 - 125.4$$ $$-x = -42.4$$ 5. **Multiply both sides by $-1$ to solve for $x$:** $$-1 \times (-x) = -1 \times (-42.4)$$ $$x = 42.4$$ **Final answer:** $$x = 42.4$$