Let's simplify the expression:

\[
x^2 + 6 - 3x^2 + 5
\]

First, combine the \(x^2\) terms:

\[
x^2 - 3x^2 = -2x^2
\]

Now, combine the constant terms:

\[
6 + 5 = 11
\]

So the expression simplifies to:

\[
-2x^2 + 11
\]

The simplified expression is:

\[
\boxed{-2x^2 + 11}
\]

Would you like further details on the steps or clarification?

Here are 5 related questions you might consider:
1. How do you simplify expressions with variables and constants?
2. What are like terms, and how do you combine them?
3. How do you factor quadratic expressions like \( -2x^2 + 11 \)?
4. Can this expression be solved for a particular value of \(x\)?
5. How do constants affect the graph of a quadratic expression?

**Tip:** Always group like terms (terms with the same variable and exponent) before simplifying.

Learn how to simplify the expression x^2 + 6 - 3x^2 + 5 step-by-step by combining like terms. This problem covers fundamental algebraic concepts suitable for students in Grades 6-8.

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