Find all real $x \in [0, 2 \pi]$ such that
\[\tan 7x - \sin 6x = \cos 4x - \cot 7x.\]Enter all the real solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all real $x \in [0, 2 \pi]$ such that
\[\tan 7x - \sin 6x = \cos 4x - \cot 7x.\]Enter all the real solutions, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{5\pi}{4}
Find all real $x \in [0, 2 \pi]$ such that
\[\tan 7x - \sin 6x = \cos 4x - \cot 7x.\]Enter all the real solutions, separated by commas.
train