To solve the equation \(-6x + 6 + 7x = 8\), we can proceed with the following steps:

1. **Combine like terms** on the left side of the equation:
   \[
   -6x + 7x + 6 = 8
   \]
   \[
   (7x - 6x) + 6 = 8
   \]
   \[
   x + 6 = 8
   \]

2. **Isolate the variable \(x\)** by subtracting 6 from both sides:
   \[
   x + 6 - 6 = 8 - 6
   \]
   \[
   x = 2
   \]

So, the solution to the equation is:

\[
x = 2
\]

Would you like more details or have any questions?

### Related Questions:

1. How do you solve an equation when the variable appears on both sides?
2. What is the next step if the equation had \(x\) terms on both sides, like \(5x - 3 = 2x + 4\)?
3. How would the process change if there were fractions involved in the equation?
4. Can you explain what to do if an equation has no solution?
5. How do you solve a quadratic equation like \(x^2 - 5x + 6 = 0\)?

### Tip:  
Always check your solution by substituting it back into the original equation to verify that both sides are equal.

Learn how to solve the equation -6x + 6 + 7x = 8 with detailed steps. This problem covers combining like terms and isolating variables in linear equations. Suitable for students in Grades 6-8.

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