Solve the Equation $$9 x + 1 = 1 - x$$

Multiple Choice

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
- $$9 x + 1 = 1 - x$$

A) $\{ x \mid x$ is a real number $\}$
B) $\left\{ \frac { 9 } { 2 } \right\}$
C) $\{ 0 \}$
D) $\varnothing$