If $(2^x-2)(5\cdot2^x+10)=3\cdot4^x+12$, what is $x$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $(2^x-2)(5\cdot2^x+10)=3\cdot4^x+12$, what is $x$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
If $(2^x-2)(5\cdot2^x+10)=3\cdot4^x+12$, what is $x$?
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