Final answer:
Evaluate the innermost parentheses first, (3 + 2) = 5. Then, solve the remaining bracket, [6 + 5] = 11. Finally, multiply by 5 and add to 7 to get the final answer, 62.
Step-by-step explanation:
To evaluate the expression 7 + [6 + (3 + 2)] x 5 using the order of operations, we start with the innermost parentheses. First, we add the numbers inside the inner parentheses:
(3 + 2) = 5
Now we put this sum back into the expression:
7 + [6 + 5] x 5
Next, we add the numbers inside the brackets:
[6 + 5] = 11
Now we put this sum back into the expression:
7 + 11 x 5
According to the order of operations, we must do multiplication before addition, so we multiply 11 by 5:
11 x 5 = 55
Finally, we add this product to 7:
7 + 55 = 62
The final answer is 62.
It's important to eliminate terms wherever possible to simplify the algebra, and always check the answer to see if it is reasonable.