https://file.aiquickdraw.com/mathbot/file/172668921553973fhqev0.jpg

The equation extracted from the image is:

\[
-7 + 2x = -21
\]

Let's solve it step by step:

1. Add \(7\) to both sides to move constants to one side:
   \[
   2x = -21 + 7
   \]
   \[
   2x = -14
   \]

2. Divide both sides by \(2\) to solve for \(x\):
   \[
   x = \frac{-14}{2} = -7
   \]

So, the solution is \(x = -7\).

Do you want any additional details or have any questions?

Here are 5 related questions to explore:
1. What happens if you move the \(2x\) term first instead of the constant?
2. How do you check if the solution is correct?
3. What if the equation had been \( -7 + 2x = 21\)? How would the solution change?
4. Can you generalize this process for solving linear equations?
5. What is the importance of isolating the variable?

**Tip**: Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the linear equation -7 + 2x = -21 step by step. This problem introduces key algebraic concepts like linear equations and equality property. Suitable for students in Grades 6-8.

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