Simplify the expression.
\[
2+3[10(7 \cdot 5-30)-40]
\]
\[
2+3[10(7 \cdot 5-30)-40]=
\]
\(\boxed{32}\)
Step 1 :Perform the operation inside the innermost parentheses, which is the multiplication and subtraction operation \(7 \cdot 5 - 30\)
Step 2 :Multiply the result by 10
Step 3 :Subtract 40 from the result
Step 4 :Multiply the result by 3
Step 5 :Finally, add 2 to the result
Step 6 :\(\boxed{32}\)