The given expression is:

$2 - (1 + 9) \times 6$

Let's simplify it step by step:

1. First, solve the expression inside the parentheses: $1 + 9 = 10$

2. Substitute this into the original equation: $2 - 10 \times 6$

3. Now, perform the multiplication: $10 \times 6 = 60$

4. Finally, subtract: $2 - 60 = -58$

So, the simplified answer is $-58$.

Would you like more details or have any questions? Here are some related questions to explore further:

1. What would happen if the parentheses were removed?
2. Can you explain the order of operations used in this problem?
3. How do we approach expressions with multiple parentheses and operators?
4. What if the multiplication was replaced by division in this problem?
5. Can you simplify other similar expressions using these steps?

Tip: Always handle operations inside parentheses first, then proceed with multiplication or division before addition or subtraction—this is the core of the order of operations (PEMDAS).