Answer:
Therefore, the simplified value of the expression 33 + 4[21 - (7 + 2 * 3)] is 65.
Explanation:
To simplify the expression 33 + 4[21 - (7 + 2 * 3)], we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
1. Inside the parentheses, simplify the expression (7 + 2 * 3):
7 + 2 * 3 = 7 + 6 = 13
2. Now, we have 33 + 4[21 - 13]. Next, simplify the expression inside the square brackets:
21 - 13 = 8
3. We are left with 33 + 4 * 8. Perform the multiplication:
4 * 8 = 32
4. Finally, perform the addition:
33 + 32 = 65