Simplify the expression using the Distributive Property:

To simplify the expression \( 7(2x + 4) \) using the Distributive Property, we multiply \( 7 \) by each term inside the parentheses:

\[
7(2x) + 7(4)
\]

Now, calculate each multiplication:

\[
7 \times 2x = 14x
\]
\[
7 \times 4 = 28
\]

Putting it all together, we have:

\[
7(2x + 4) = 14x + 28
\]

So, the simplified expression is:

\[
\boxed{14x + 28}
\]