Let's break this down step by step:

Given expression:  
\[ 6 + [3 \times (8 - 5)] - 2 \]

1. First, solve the expression inside the parentheses:
   \[ 8 - 5 = 3 \]

2. Now, substitute the result into the original equation:
   \[ 6 + [3 \times 3] - 2 \]

3. Next, perform the multiplication:
   \[ 3 \times 3 = 9 \]

4. Substitute the result:
   \[ 6 + 9 - 2 \]

5. Finally, perform the addition and subtraction from left to right:
   \[ 6 + 9 = 15 \]
   \[ 15 - 2 = 13 \]

So, the final answer is **13**.

Would you like more details or have any questions?

Here are 5 related questions you might explore:
1. What is the order of operations (PEMDAS)?
2. How do parentheses affect operations in algebra?
3. Can the distributive property simplify this type of expression?
4. What happens if you change the order of addition and subtraction?
5. How would you solve a similar problem with fractions?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) for accuracy in complex expressions.

Learn how to solve the arithmetic expression 6 + [3 x (8 - 5)] - 2 step-by-step using the order of operations (PEMDAS). This guide covers key arithmetic concepts such as parentheses, multiplication, addition, and subtraction, suitable for students in Grades 6-8.

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