The graphs of $y = x^2 - 7x + 7$ and the line $y = -3$ intersect at two points. What is the sum of the $x$-coordinates of these two points?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The graphs of $y = x^2 - 7x + 7$ and the line $y = -3$ intersect at two points. What is the sum of the $x$-coordinates of these two points?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
7
The graphs of $y = x^2 - 7x + 7$ and the line $y = -3$ intersect at two points. What is the sum of the $x$-coordinates of these two points?
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