\(\dfrac{1}{3}x+\dfrac{2}{5}\left(x+1\right)=0\)
\(\Leftrightarrow\dfrac{1}{3}x+\dfrac{2}{5}x+\dfrac{2}{5}=0\)
\(\Leftrightarrow\dfrac{11}{15}x=-\dfrac{2}{5}\)
\(\Leftrightarrow x=-\dfrac{6}{11}\)
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