Math Snap

STEP 1

1. We are solving for $x$ in each given equation.
2. We assume the set $W$ refers to a set of possible solutions provided in each part.
3. Each part of the problem is independent and requires solving a simple equation.

STEP 2

1. Solve the equation for part b) $(11-x)-5=1$.
2. Solve the equation for part c) $7+x=x+7$.

STEP 3

For part b), start with the equation:
$$(11-x) - 5 = 1$$ Add 5 to both sides to simplify:
$$11-x = 6$$

STEP 4

Subtract 11 from both sides to isolate $-x$:
$$-x = 6 - 11$$ $$-x = -5$$ Multiply both sides by $-1$ to solve for $x$:
$$x = 5$$

For part c), start with the equation:
$$7 + x = x + 7$$ Subtract $x$ from both sides:
$$7 = 7$$ This is a true statement, indicating that the equation is an identity. Therefore, any real number $x$ is a solution.
The solutions are:
- For part b), the solution is $x = 5$.
- For part c), the solution is any real number.