Find all the solutions to
\[3 \sqrt[3]{3x - 2} = x^3 + 2.\]Enter all the solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all the solutions to
\[3 \sqrt[3]{3x - 2} = x^3 + 2.\]Enter all the solutions, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1,-2
Find all the solutions to
\[3 \sqrt[3]{3x - 2} = x^3 + 2.\]Enter all the solutions, separated by commas.
train