1. The problem is to expand the expression $4(x + 3)$ using the Distributive Property. 2. The Distributive Property states that $a(b + c) = ab + ac$. This means you multiply the term outside the parentheses by each term inside the parentheses. 3. Applying the property here: $$4(x + 3) = 4 \times x + 4 \times 3$$ 4. Multiply each term: $$4x + 12$$ 5. So, the expanded form of $4(x + 3)$ is $4x + 12$. This means you distribute the 4 to both $x$ and 3, then simplify.