https://file.aiquickdraw.com/mathbot/file/1725496866692zatru16m.jpg

The image shows a math problem that asks the user to simplify an expression, which is:

\[
\frac{7}{6} + \frac{5}{9}x + 9x + 3x
\]

### Steps to Simplify:

1. **Combine like terms**: 
   - The terms with \(x\) are \( \frac{5}{9}x + 9x + 3x \).
   - First, convert \(9x\) and \(3x\) to fractions with a denominator of 9, so we can combine them with \(\frac{5}{9}x\).
   - \( 9x = \frac{81}{9}x \) and \( 3x = \frac{27}{9}x \).
   - Now, combine the terms with \(x\): 
     \[
     \frac{5}{9}x + \frac{81}{9}x + \frac{27}{9}x = \frac{113}{9}x.
     \]

2. **Final Expression**:
   - The simplified expression will be:
     \[
     \frac{7}{6} + \frac{113}{9}x.
     \]
   
### Conclusion:
The simplified expression is \( \frac{7}{6} + \frac{113}{9}x \).

Let me know if you have any questions or need further clarification!

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**Relative Questions:**
1. How do you combine fractions with different denominators?
2. Can you explain how to convert whole numbers into fractions?
3. What are like terms, and why do we combine them in algebra?
4. How do you simplify complex expressions with multiple variables?
5. Can this expression be factored further?

**Tip**: Always check for like terms before attempting to simplify an expression, and ensure that fractions have a common denominator to combine them correctly.

Simplify the expression: (7/6) + (5/9)x + 9x + 3x

Learn how to simplify the algebraic expression (7/6) + (5/9)x + 9x + 3x by combining like terms and converting whole numbers into fractions. Suitable for students in Grades 7-9.

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