How many integers satisfy the inequality $x(3x-4) \le \frac{6x^2 - 3x + 5}{10}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many integers satisfy the inequality $x(3x-4) \le \frac{6x^2 - 3x + 5}{10}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
How many integers satisfy the inequality $x(3x-4) \le \frac{6x^2 - 3x + 5}{10}$?
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