1. **State the problem:** Simplify the expression $\frac{28x}{7}$. 2. **Formula and rules:** When dividing terms, you can divide the numerator and denominator by their greatest common factor (GCF). Here, the GCF of 28 and 7 is 7. 3. **Intermediate work:** $$\frac{28x}{7} = \frac{\cancel{7} \times 4x}{\cancel{7}}$$ 4. **Simplify:** Cancel the common factor 7 in numerator and denominator: $$= 4x$$ 5. **Explanation:** Dividing both numerator and denominator by 7 simplifies the fraction to $4x$. This means $\frac{28x}{7}$ is equivalent to $4x$.