Gif 1

Algebra Level 5

$\large \left \lfloor x \right \rfloor + \left \lfloor 5x \right \rfloor + \left \lfloor 10x \right \rfloor + \left \lfloor 20x \right \rfloor = 36 k + 35$

For constant integer $k$ , find the sum of all real solutions of $x$ that satisfy the equation above.