The given expression is:

\[
2x^2 + \frac{1}{3}x^2 - 7x + 2x^2
\]

Now let's simplify the expression step-by-step:

1. Combine the like terms involving \( x^2 \):
   \[
   2x^2 + \frac{1}{3}x^2 + 2x^2 = \left(2 + \frac{1}{3} + 2\right)x^2 = \left(\frac{6}{3} + \frac{1}{3} + \frac{6}{3}\right)x^2 = \frac{13}{3}x^2
   \]

2. The linear term \(-7x\) remains as it is.

Thus, the simplified expression is:

\[
\frac{13}{3}x^2 - 7x
\]

Would you like more details, or do you have any questions?

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Here are 5 related questions for you:

1. How do you solve quadratic equations involving fractions?
2. What methods can you use to factor a quadratic expression?
3. How do you determine the degree of a polynomial?
4. What is the difference between combining like terms and factoring?
5. Can you apply the quadratic formula to this expression if set equal to 0?

**Tip:** When simplifying expressions, always combine like terms first to reduce complexity.

Learn how to simplify the expression 2x² + 1/3x² - 7x + 2x² by combining like terms and following a step-by-step approach. This example covers key algebraic concepts such as polynomials and expression simplification. Suitable for students in Grades 8-10.

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