1. **Stating the problem:** Solve the equation $$x - 37.1 = 0$$ for $x$. 2. **Formula and rule:** To solve for $x$, we isolate $x$ by adding $37.1$ to both sides of the equation. 3. **Intermediate work:** $$x - 37.1 = 0$$ Add $37.1$ to both sides: $$x - 37.1 + 37.1 = 0 + 37.1$$ This simplifies to: $$x = 37.1$$ 4. **Explanation:** We moved the constant term $-37.1$ to the right side by adding $37.1$ to both sides, which cancels it out on the left side, leaving $x$ alone. 5. **Final answer:** $$x = 37.1$$