To solve for $x$ in the equation:

$-2x - 4y = -1$

Follow these steps:

1. Isolate the $x$-term by moving the $4y$-term to the other side of the equation:

$-2x = -1 + 4y$

2. Divide both sides of the equation by $-2$ to solve for $x$:

$x = \frac{-1 + 4y}{-2}$

3. Simplify the expression:

$x = \frac{-1}{-2} + \frac{4y}{-2}$ $x = \frac{1}{2} - 2y$

So, the solution is:

$x = \frac{1}{2} - 2y$

Would you like further details on this solution or have any other questions?

Here are 5 related questions to expand your understanding:

1. How would you solve for $y$ in the same equation?
2. How does solving for $x$ change if the coefficient of $x$ is positive instead of negative?
3. What happens if the constants on the right-hand side are different?
4. How can you graph the equation once $x$ is solved?
5. How does solving for $x$ change if the equation has only one variable?

Tip: Always move all terms not containing the variable you're solving for to the opposite side of the equation before isolating that variable.