Let's solve the equation step by step:

The given equation is:
\[
3x + x - 7 = 1
\]

1. Combine the like terms on the left-hand side:
\[
(3x + x) - 7 = 1 \implies 4x - 7 = 1
\]

2. Add 7 to both sides to isolate the term with \(x\):
\[
4x - 7 + 7 = 1 + 7 \implies 4x = 8
\]

3. Divide both sides by 4 to solve for \(x\):
\[
x = \frac{8}{4} \implies x = 2
\]

So, the solution is:
\[
x = 2
\]

Would you like more details on any of the steps or have additional questions?

Here are 5 related questions for you to explore:
1. What happens if the equation is \(3x + x - 7 = 0\)?
2. How would you solve \(5x + 2x - 4 = 10\)?
3. Can you solve \(4x - 7 = -1\)?
4. How do you solve \(3x + 2x - 9 = 4x - 2\)?
5. What if the equation was \(2x + 3 = 3x - 1\)?

**Tip:** Always combine like terms first to simplify equations before solving.

Learn how to solve the linear equation 3x + x - 7 = 1 with a step-by-step guide. This problem covers fundamental algebraic concepts, including combining like terms and isolating variables. Ideal for students in Grades 6-8 looking to improve their understanding of linear equations.

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