Given that $x$ is an integer such that $x\sqrt{x}-5x-9\sqrt{x}=35$, find $x$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that $x$ is an integer such that $x\sqrt{x}-5x-9\sqrt{x}=35$, find $x$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
49
Given that $x$ is an integer such that $x\sqrt{x}-5x-9\sqrt{x}=35$, find $x$.
train