Find the number of real solutions to $\sin 6 \pi x = x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the number of real solutions to $\sin 6 \pi x = x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
11
Find the number of real solutions to $\sin 6 \pi x = x.$
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