Determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.
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