Let $f(x) = 2x+1$ and $g(x) = f(2x) - 3$. What is $g(g(2))$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $f(x) = 2x+1$ and $g(x) = f(2x) - 3$. What is $g(g(2))$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
22
Let $f(x) = 2x+1$ and $g(x) = f(2x) - 3$. What is $g(g(2))$?
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