It looks like there's a typo in the equation. The equation seems to be meant as one equation rather than two. Based on the format, I believe the correct equation might be:

$7x + 4y - 3 = 3x + 1$

I'll solve for $x$ in terms of $y$ using this equation:

1. Start with the given equation: $7x + 4y - 3 = 3x + 1$

2. Move all the terms involving $x$ to one side by subtracting $3x$ from both sides: $7x - 3x + 4y - 3 = 1$ Simplifying the equation: $4x + 4y - 3 = 1$

3. Now, isolate the $x$-terms by moving the non-$x$ terms to the other side. Add 3 to both sides: $4x + 4y = 4$

4. Subtract $4y$ from both sides to isolate $4x$: $4x = 4 - 4y$

5. Finally, solve for $x$ by dividing both sides by 4: $x = 1 - y$

So, $x$ in terms of $y$ is:

$\boxed{x = 1 - y}$

Would you like more details on any of these steps or have any further questions?

Here are five related questions you might consider:

1. How would you solve for $y$ in terms of $x$ given the same equation?
2. What happens to the value of $x$ when $y = 0$?
3. How can you graph the equation $x = 1 - y$?
4. What is the significance of the slope in the equation $x = 1 - y$?
5. How would the equation change if the constant on the right side was different?

Tip: When solving linear equations, always aim to isolate the variable of interest by moving terms across the equation systematically.