1. **State the problem:** Solve the equation $3x = 3$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. This is done by dividing both sides of the equation by the coefficient of $x$, which is 3. 3. **Intermediate work:** $$3x = 3$$ Divide both sides by 3: $$\frac{\cancel{3}x}{\cancel{3}} = \frac{3}{3}$$ 4. **Simplify:** $$x = 1$$ 5. **Explanation:** Dividing both sides by 3 cancels the coefficient of $x$, leaving $x$ alone on the left side. The right side simplifies to 1, so the solution is $x = 1$. **Final answer:** $x = 1$