If $x$ is a positive integer and $x(x + 1)(x + 2)(x + 3) + 1 = 379^2,$ compute $x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $x$ is a positive integer and $x(x + 1)(x + 2)(x + 3) + 1 = 379^2,$ compute $x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
18
If $x$ is a positive integer and $x(x + 1)(x + 2)(x + 3) + 1 = 379^2,$ compute $x.$
train