https://file.aiquickdraw.com/mathbot/file/17270739067614c2yj278.jpg

The text in the image is in Finnish, and it translates to:

"Combining like terms in a sum expression

Combine the like terms, that is, simplify
\[
-7x^2 + 22x - 55 + 5x
\]"

Let's simplify this expression by combining the like terms.

The expression is:
\[
-7x^2 + 22x - 55 + 5x
\]

1. Combine the \(x\) terms: \(22x + 5x = 27x\)
2. The expression becomes:
\[
-7x^2 + 27x - 55
\]

The simplified form is:
\[
-7x^2 + 27x - 55
\]

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. How would you simplify \(3x^2 + 4x - 5 + 2x^2 - x\)?
2. What happens if you add a constant to the expression, such as \(+ 10\)?
3. Can you factor the simplified expression \(-7x^2 + 27x - 55\)?
4. What is the value of the expression \(-7x^2 + 27x - 55\) when \(x = 2\)?
5. How would you combine like terms in a more complex expression like \(4x^3 - 3x^2 + 6x + 3x^3 + 7x^2 - 8x\)?

**Tip:** When combining like terms, always group terms with the same variable and exponent together.

Yhdistä samanmuotoiset termit eli sievennä: -7x^2 + 22x - 55 + 5x

Learn how to simplify the expression -7x^2 + 22x - 55 + 5x by combining like terms. This algebra problem is suitable for students in Grades 7-9 and covers key concepts of simplifying expressions and combining terms.

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