Let's simplify the given expression step by step. The expression is:

$5x - 5y^2 + 4y^2 - x + 5y^2 + 3x$

Step 1: Combine like terms

• The terms involving $x$: $5x$, $-x$, and $3x$. $5x - x + 3x = 7x$

• The terms involving $y^2$: $-5y^2$, $4y^2$, and $5y^2$. $-5y^2 + 4y^2 + 5y^2 = 4y^2$

Step 2: Write the simplified expression

$7x + 4y^2$

Final Answer:

The simplified expression is $7x + 4y^2$, which matches the option on the top left of the image.

Would you like more details or have any questions? Here are some related questions to explore further:

1. How do you identify like terms in algebraic expressions?
2. What are common mistakes to avoid when simplifying expressions?
3. How does the distributive property apply to similar problems?
4. Can expressions like this be factored? If so, how?
5. How would you approach simplifying expressions with three variables?

Tip: Always double-check that all like terms are combined correctly, especially with both positive and negative coefficients.