Suppose $x$ is a solution to $x^2 + 1 = 7x$. What is the sum of $x$ and its reciprocal?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Suppose $x$ is a solution to $x^2 + 1 = 7x$. What is the sum of $x$ and its reciprocal?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
7
Suppose $x$ is a solution to $x^2 + 1 = 7x$. What is the sum of $x$ and its reciprocal?
train