1. The problem asks which expression can be written as $4(x + 6)$. 2. Recall the distributive property: $$a(b + c) = ab + ac$$ This means $4(x + 6) = 4 \cdot x + 4 \cdot 6$ 3. Let's check each option: - $4 \cdot x + 4 \cdot 6$ matches exactly the distributive form. - $24x$ is $4 \cdot 6x$, which is not the same as $4(x + 6)$. - $4 \cdot x + 6$ is missing the multiplication of 4 and 6. - $4 + x \cdot 6$ is $4 + 6x$, which is not the same as $4(x + 6)$. 4. Therefore, the expression that can be written as $4(x + 6)$ is: $$4 \cdot x + 4 \cdot 6$$ Final answer: $4 \cdot x + 4 \cdot 6$