<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 "The Comprehensive Collection of Mathematical Algorithms" is an important ancient Chinese mathematical work. It records: I asked Li Sangong, who owns a store, all the guests came to the store. If seven guests stay in each room, there will be seven guests left without a room. If nine guests stay in each room, there will be one room empty. The question is: if there are several people staying in the store, and if each room accommodates 7 people, then 7 people will be left without a room. If each room accommodates 9 people, then one room will be empty. Let the total number of rooms in the store be $x$. What is the value of $x$? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
8
"The Comprehensive Collection of Mathematical Algorithms" is an important ancient Chinese mathematical work. It records: I asked Li Sangong, who owns a store, all the guests came to the store. If seven guests stay in each room, there will be seven guests left without a room. If nine guests stay in each room, there will be one room empty. The question is: if there are several people staying in the store, and if each room accommodates 7 people, then 7 people will be left without a room. If each room accommodates 9 people, then one room will be empty. Let the total number of rooms in the store be $x$. What is the value of $x$?
test