Question 71
Let $\lfloor x \rfloor$ denote the largest integer not greater than real number $x$. Determine all real solutions of the equation
$$
11 \lfloor x \rfloor + \lfloor x + \frac{1}{2} \rfloor = 9x.
$$
$$
11 \lfloor x \rfloor + \lfloor x + \frac{1}{2} \rfloor = 9x.
$$