Question: Simplify this expression by
using the distributive property.
$$\frac{1}{5} (15x - 5)$$
$$[x] x + [ ]$$
1. **State the problem:** Simplify the expression $$\frac{1}{5} (15x - 5)$$ using the distributive property.
2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. Here, $$a = \frac{1}{5}$$, $$b = 15x$$, and $$c = -5$$.
3. **Apply the distributive property:**
$$\frac{1}{5} (15x - 5) = \frac{1}{5} \times 15x + \frac{1}{5} \times (-5)$$
4. **Multiply each term:**
$$= \frac{1 \times 15x}{5} - \frac{1 \times 5}{5}$$
5. **Simplify the fractions:**
$$= \frac{15x}{5} - \frac{5}{5}$$
6. **Cancel common factors:**
$$= 3x - 1$$
7. **Final simplified expression:**
$$3x - 1$$
Thus, the expression simplifies to $$3x - 1$$.
The answer in the form $$[x] x + [ ]$$ is $$[3] x + [-1]$$.