Solve for $x$: $$\left(\frac{1}{9}\right)^x = 3^{x+3}.$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve for $x$: $$\left(\frac{1}{9}\right)^x = 3^{x+3}.$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
x = -1
Solve for $x$: $$\left(\frac{1}{9}\right)^x = 3^{x+3}.$$
train