Question 122
For a real number $r$, let $[r]$ represent the largest integer less than or equal to $r$. Determine the sum of all real numbers $x$ which satisfy the equation
$$
[x] + [2x] + [3x] + [4x] + [5x] + [6x] + [7x] + [8x] + [9x] = 44x.
$$
$$
[x] + [2x] + [3x] + [4x] + [5x] + [6x] + [7x] + [8x] + [9x] = 44x.
$$