Answer :

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]