The problem asks to simplify the given expression:

$-2x^2 + 4 + 5x - 13 - 11x^2$

Step 1: Combine like terms

• The terms with $x^2$ are: $-2x^2 - 11x^2 = -13x^2$

• The terms with $x$ are: 5x \quad \text{(there's only one, so it stays as 5x)}.

• The constant terms are: $4 - 13 = -9$

Step 2: Write the simplified expression

Combining all the results, the simplified expression is: $-13x^2 + 5x - 9$

Let me know if you have questions or want further clarification!

Related Questions:

1. What are like terms in algebra, and why do we combine them?
2. How can you organize terms in an expression to simplify calculations?
3. What is the degree of the simplified expression, and why?
4. How would the process change if we were solving an equation instead of simplifying?
5. Can this simplified expression be factored further?

Tip:

Always arrange your terms in descending order of the variable's exponent (standard form). This makes it easier to interpret and further manipulate the expression.