1. **State the problem:** Simplify the expression $\frac{18x}{6x}$. 2. **Recall the rule:** When simplifying fractions, divide numerator and denominator by their greatest common factor (GCF). Also, cancel common variables, noting restrictions. 3. **Write the fraction:** $$\frac{18x}{6x}$$ 4. **Factor numerator and denominator:** $$\frac{6 \cdot 3 \cdot x}{6 \cdot 1 \cdot x}$$ 5. **Cancel common factors:** $$\frac{\cancel{6} \cdot 3 \cdot \cancel{x}}{\cancel{6} \cdot 1 \cdot \cancel{x}}$$ 6. **Simplify the fraction:** $$\frac{3}{1} = 3, \quad x \neq 0$$ 7. **Final answer:** The simplified expression is $3$.