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1. \( 2 + \{ 8 \times (-8 + 6) + [(3 + 4) \div 7 - 5 \times 6 \div 10] - 6 \} \)
2. \( [12 - (-3) + 8 - 12 : (-6 + 2)] + -4 \)
3. \( [-6 - (2 - 5) + 5 - (4 - 7)] - [(3 - 8) \times (2 - 5) : (1 - 4)] \)
4. \( 3 \cdot 9 + (6 + 5 - 3) - 12 : 4 \)
5. \( 440 - [30 + 6 (19 - 12)] \)
6. \( 2 \{ 4 [7 + 4 (5 - 3 - 9)] - 3 (40 - 8) \} \)
7. \( 5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 \)
8. \( [(-2)^5 - (-3)^3] \)
9. \( (5 + 3 : 2 : 6 - 4)(4 : 2 - 3 + 6) : (7 - 8 : 2 - 2)^2 \)
10. \( 7 - 3 + [6 + 2 - (2^3 : 4 + 3 - 2) - 7 : 2] + 9 : 3 \)

Let's proceed to solve these step-by-step. I'll begin with the first expression.

### Expression 1:
\[
2 + \{ 8 \times (-8 + 6) + [(3 + 4) \div 7 - 5 \times 6 \div 10] - 6 \}
\]
First simplify within the parentheses:

1. \( -8 + 6 = -2 \)
2. \( 8 \times (-2) = -16 \)
3. \( 3 + 4 = 7 \), then \( 7 \div 7 = 1 \)
4. \( 5 \times 6 = 30 \), and \( 30 \div 10 = 3 \)
5. \( 1 - 3 = -2 \)

Now simplify the entire expression:

\[
2 + \{ -16 + (-2) - 6 \} = 2 + \{ -24 \} = 2 - 24 = -22
\]

### Answer for Expression 1:
\[
-22
\]

Would you like to continue with the rest of the expressions, or would you prefer a different approach? Feel free to ask for any specific clarifications.

Here are five related questions to consider:
1. How can parentheses affect the order of operations?
2. What is the role of division and multiplication in order of operations?
3. Why is it important to solve operations inside the braces first?
4. How does distributing negative signs impact the equation?
5. Can you identify situations where the order of operations might lead to errors if not followed?

**Tip:** Always resolve terms inside parentheses, brackets, or braces first before dealing with multiplication, division, or other operations.

Solve multiple algebraic expressions with parentheses, exponents, and arithmetic operations using the order of operations (PEMDAS). This step-by-step solution includes a breakdown of key mathematical concepts for middle school students.

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