The mean of the increasing ordered set of numbers, $\{6, x, 22\}$, is equal to the median. What is the value of $x$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The mean of the increasing ordered set of numbers, $\{6, x, 22\}$, is equal to the median. What is the value of $x$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
14
The mean of the increasing ordered set of numbers, $\{6, x, 22\}$, is equal to the median. What is the value of $x$?
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