Simplify the expression. \[ 2+3[10(7 \cdot 5-30)-40] \] \[ 2+3[10(7 \cdot 5-30)-40]= \]

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 ：\(\boxed{32}\)