How many positive integer values of $x$ are solutions to the inequality $10 < -x + 13$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many positive integer values of $x$ are solutions to the inequality $10 < -x + 13$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
How many positive integer values of $x$ are solutions to the inequality $10 < -x + 13$?
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