To simplify the expression \(7(6 + 5)\) using the Distributive Property, you can distribute the \(7\) to both terms inside the parentheses:
\[ 7(6 + 5) = 7 \cdot 6 + 7 \cdot 5 \]
Now, calculate each term:
\[ 7 \cdot 6 = 42 \] \[ 7 \cdot 5 = 35 \]
Now, add the two results together:
\[ 42 + 35 = 77 \]
So, the simplified expression is:
\[ 7(6 + 5) = 77 \]
Therefore, the complete answer is:
\[ 7(6 + 5) = 7 \cdot 6 + 7 \cdot 5 = 42 + 35 = 77 \]