Let's solve the equation $x - 1 = -5 - x$.

Step 1: Combine like terms.

Start by adding $x$ to both sides to eliminate the $-x$ on the right-hand side:

$x - 1 + x = -5 - x + x$

This simplifies to:

$2x - 1 = -5$

Step 2: Isolate the variable.

Next, add 1 to both sides to move the constant term:

$2x - 1 + 1 = -5 + 1$

This simplifies to:

$2x = -4$

Step 3: Solve for $x$.

Now, divide both sides by 2:

$x = \frac{-4}{2} = -2$

Final Solution:

The solution is $x = -2$.

Would you like more details or have any questions?

Here are five related questions for further practice:

1. Solve $3x - 2 = -4 + x$.
2. Solve $x + 3 = 7 - 2x$.
3. Solve $4x + 1 = 2x - 5$.
4. Solve $5x - 7 = 3x + 1$.
5. Solve $6x - 2 = 3x + 8$.

Tip: Always try to keep the variable on one side of the equation for easier solving.