1. The problem asks which expression can be written as $4(x + 6)$. This means we want to find an expression equivalent to distributing 4 over the sum inside the parentheses. 2. The distributive property states: $$a(b + c) = ab + ac$$ 3. Applying this to $4(x + 6)$, we get: $$4 \times x + 4 \times 6 = 4x + 24$$ 4. Now, let's analyze each option: - $4 * x + 4 * 6$ simplifies to $4x + 24$, which matches our distributed form. - $24x$ is not equivalent because it implies $24 \times x$, not $4x + 24$. - $4 * x + 6$ simplifies to $4x + 6$, which is not equivalent. - $4 + x * 6$ simplifies to $4 + 6x$, which is also not equivalent. 5. Therefore, the expression that can be written as $4(x + 6)$ is $4 * x + 4 * 6$. Final answer: $4 * x + 4 * 6$