How many integers $x$ satisfy $|x|+5<7$ and $|x-3|>2$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many integers $x$ satisfy $|x|+5<7$ and $|x-3|>2$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
How many integers $x$ satisfy $|x|+5<7$ and $|x-3|>2$?
train