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This is a transcendental equation and those are difficult to solve in general. In this particular case there is a unique real solution x=0 which is not found. I'm not sure about complex solutions.
I don't know how to propose a good general method for this situation short of saying that maybe it's worth having solve try substituting some obvious values like 0 or 1 to look for solutions:
When typing sympy.solve('x-sin(x)', 'x'), it raise NotImplementedError.
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