Suppose that $\sec x+\tan x=\frac{22}7.$  Find $\csc x+\cot x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Suppose that $\sec x+\tan x=\frac{22}7.$  Find $\csc x+\cot x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{29}{15}
Suppose that $\sec x+\tan x=\frac{22}7.$  Find $\csc x+\cot x.$
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