To simplify the expression \( 7(6 + 5) \) using the Distributive Property, you can distribute the \( 7 \) across the terms inside the parentheses:
\[ 7(6) + 7(5) \]
Now calculate each part:
\[ 7 \times 6 = 42 \] \[ 7 \times 5 = 35 \]
Now add those results together:
\[ 42 + 35 = 77 \]
So, \( 7(6 + 5) = 77 \).
The final answer is:
\[ 77 \]