Let's simplify the expression:

\[
3x^2 + 7x - 2x^2 - x - 1
\]

1. Combine like terms:
   - Combine the \(x^2\) terms: \(3x^2 - 2x^2 = x^2\)
   - Combine the \(x\) terms: \(7x - x = 6x\)
   - The constant remains \(-1\)

So, the simplified expression is:

\[
x^2 + 6x - 1
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. How would you solve \(x^2 + 6x - 1 = 0\)?
2. What is the value of the expression when \(x = 2\)?
3. What happens to the expression when you factor it (if possible)?
4. How would you graph \(x^2 + 6x - 1\)?
5. How does the value of the expression change as \(x\) increases?

**Tip**: Always look to combine like terms first to simplify algebraic expressions quickly.

Discover how to simplify the algebraic expression 3x^2 + 7x - 2x^2 - x - 1 through combining like terms. This step-by-step solution is ideal for students learning core algebra concepts such as polynomials and simplification. Suitable for Grades 7-9.

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