To solve the equation $x - 1 = -5 - x$, let's follow these steps:

1. Add $x$ to both sides of the equation to eliminate the $-x$ on the right-hand side: $x - 1 + x = -5 - x + x$ This simplifies to: $2x - 1 = -5$

2. Add 1 to both sides to isolate the term with $x$: $2x - 1 + 1 = -5 + 1$ Simplifying this: $2x = -4$

3. Divide both sides by 2 to solve for $x$: $x = \frac{-4}{2}$ $x = -2$

So, the solution is $x = -2$.

Would you like further explanation or have any questions? Here are five related problems you might want to try:

1. $2x - 3 = 7 - x$
2. $x + 5 = 3 - 2x$
3. $3x + 1 = 2x - 4$
4. $4x - 2 = 6x + 3$
5. $-x + 6 = 10 + 2x$

Tip: When solving linear equations, always aim to isolate the variable on one side.