1. **State the problem:** We need to find the value of $x$ given the equation $x = 68x$. 2. **Write down the equation:** $$x = 68x$$ 3. **Subtract $68x$ from both sides to isolate terms:** $$x - 68x = 0$$ 4. **Simplify the left side:** $$\cancel{x} - 68\cancel{x} = (1 - 68)x = -67x = 0$$ 5. **Solve for $x$:** Since $-67x = 0$, divide both sides by $-67$: $$\frac{-67x}{-67} = \frac{0}{-67}$$ $$x = 0$$ 6. **Conclusion:** The only solution to the equation $x = 68x$ is $x = 0$.