Let's break down the expression step by step:
\[ 517 - 33 + 9 \times (2 + 6) \times (-11) \]
First, we calculate the parentheses:
- Inside the parentheses \( 2 + 6 = 8 \).
Now we have:
\[ 517 - 33 + 9 \times 8 \times (-11) \]
Next, we calculate \( 9 \times 8 \):
\[ 9 \times 8 = 72 \]
Now, we have:
\[ 517 - 33 + 72 \times (-11) \]
Next, calculate \( 72 \times (-11) \):
\[ 72 \times (-11) = -792 \]
Now we have:
\[ 517 - 33 - 792 \]
Now, we will perform the operations from left to right:
- \( 517 - 33 = 484 \)
- \( 484 - 792 = -308 \)
Therefore, the final result is:
\[ \boxed{-308} \]