The equation provided is:

$7 - 2x = 1$

To solve for $x$, we will isolate the variable on one side of the equation.

Step-by-step Solution:

1. Subtract 7 from both sides: $7 - 2x - 7 = 1 - 7$ Simplifies to: $-2x = -6$

2. Divide both sides by -2: $x = \frac{-6}{-2}$ Simplifies to: $x = 3$

Final Answer:

$x = 3$

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

Related Questions:

1. How would the solution change if the equation were $7 + 2x = 1$?
2. What is the general method for solving linear equations like this?
3. How do you check if your solution to a linear equation is correct?
4. What are some examples of real-life situations that can be modeled by linear equations?
5. How can you solve linear equations graphically?

Tip:

Always check your solution by substituting the value back into the original equation to ensure it satisfies the equation.