https://file.aiquickdraw.com/mathbot/file/1727404493250jkof13m2.jpg

The expression to simplify is:

\[
(x - 11) + (-7x^2 - x - 12)
\]

### Steps:
1. Distribute and remove the parentheses:
\[
x - 11 - 7x^2 - x - 12
\]

2. Combine like terms:
   - Combine the \(x\) terms: \(x - x = 0\)
   - Constant terms: \(-11 - 12 = -23\)

The resulting expression is:

\[
-7x^2 - 23
\]

Thus, the simplified expression is:

\[
-7x^2 - 23
\]

Would you like further details on this process?

Here are some related questions to deepen understanding:
1. How do you simplify an expression with more complex exponents?
2. What happens when terms involve both variables and constants?
3. How does one combine terms with different degrees of the variable?
4. What strategies can you use when simplifying polynomials?
5. Can you expand and simplify an expression with multiple variables?

**Tip:** Always check for like terms before combining them, especially in more complex algebraic expressions.

Learn how to simplify the polynomial expression (x - 11) + (-7x^2 - x - 12) step by step. This problem covers algebraic concepts, including combining like terms and simplifying polynomials. Suitable for students in Grades 7-9.

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