To solve the equation $4x + 1 = 2x + 7$, follow these steps:

1. Subtract $2x$ from both sides: $4x - 2x + 1 = 7$ This simplifies to: $2x + 1 = 7$

2. Subtract 1 from both sides: $2x = 6$

3. Divide both sides by 2: $x = 3$

Thus, the solution is $x = 3$.

Would you like more details on any step, or do you have other questions?

Here are 5 related questions:

1. How would you solve $5x + 3 = 2x + 9$?
2. What happens when both sides have the same term in a linear equation?
3. Can you solve $4x - 5 = 3x + 2$?
4. What is the solution to $3x + 4 = 3x + 9$?
5. How can you check if a solution to a linear equation is correct?

Tip: Always isolate the variable on one side to solve for it effectively.