Find the smallest positive value of $x$ such that
\[\tan 20^\circ + 2 \tan 50^\circ = \tan x^\circ.\]
Question:
Find the smallest positive value of $x$ such that
\[\tan 20^\circ + 2 \tan 50^\circ = \tan x^\circ.\]
Answer:
Let's think step by step.

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