Find the smallest positive value of $x$ such that
\[\tan 20^\circ + 2 \tan 50^\circ = \tan x^\circ.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the smallest positive value of $x$ such that
\[\tan 20^\circ + 2 \tan 50^\circ = \tan x^\circ.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
70
Find the smallest positive value of $x$ such that
\[\tan 20^\circ + 2 \tan 50^\circ = \tan x^\circ.\]
train