Sure, let's solve this step-by-step:
1. Calculate the expression inside the inner parentheses:
[tex]\[
3 + 2 \times 7
\][/tex]
Following the order of operations (PEMDAS/BODMAS), we first perform the multiplication inside the parentheses:
[tex]\[
2 \times 7 = 14
\][/tex]
Now, we add 3 to 14:
[tex]\[
3 + 14 = 17
\][/tex]
2. Calculate the expression inside the outer parentheses:
[tex]\[
(5 - 2) \cdot 17
\][/tex]
First, we evaluate the subtraction inside the parentheses:
[tex]\[
5 - 2 = 3
\][/tex]
Next, multiply the result by 17:
[tex]\[
3 \cdot 17 = 51
\][/tex]
3. Calculate the entire expression:
[tex]\[
2 \cdot 51 - 2
\][/tex]
First, perform the multiplication:
[tex]\[
2 \cdot 51 = 102
\][/tex]
Then, subtract 2:
[tex]\[
102 - 2 = 100
\][/tex]
Thus, the final result is:
[tex]\[
100
\][/tex]
