https://file.aiquickdraw.com/mathbot/file/1726150056053si9snsdn.jpg

The equation in the image is:

\[
-2x + 8 = -x + 7
\]

### Let's solve for \(x\):

1. Start by getting all the terms with \(x\) on one side of the equation. To do this, add \(2x\) to both sides:
   \[
   8 = x + 7
   \]

2. Now, isolate \(x\) by subtracting 7 from both sides:
   \[
   1 = x
   \]

### Solution:
\[
x = 1
\]

Would you like a detailed breakdown of each step or have any further questions?

Here are 5 related questions you might find helpful:
1. What happens if we multiply both sides of an equation by a negative number?
2. How can you verify if your solution to an equation is correct?
3. What is the difference between a linear and a quadratic equation?
4. How can you solve an equation with variables on both sides in general?
5. What are some common mistakes to avoid when solving linear equations?

**Tip:** Always check your solution by substituting the value of \(x\) back into the original equation to see if both sides are equal.

Learn how to solve the linear equation -2x + 8 = -x + 7 with a simple step-by-step solution. This guide covers fundamental algebraic concepts, including variable manipulation and solving for x. Suitable for students in Grades 6-8.

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