Solve for $x$: $$(\sqrt{12x}+12)(\sqrt{3x}-6)=4(x+3)+x-34$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve for $x$: $$(\sqrt{12x}+12)(\sqrt{3x}-6)=4(x+3)+x-34$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
Solve for $x$: $$(\sqrt{12x}+12)(\sqrt{3x}-6)=4(x+3)+x-34$$
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