\(\left(x:\dfrac{x}{7}+1\right):\left(-4\right)=\dfrac{-1}{28}\)
\(x:\dfrac{x}{7}+1=\dfrac{-1}{28}.\left(-4\right)\)
\(x:\dfrac{x}{7}+1=\dfrac{1}{7}\)
\(x:\dfrac{x}{7}=\dfrac{1}{7}-1\)
\(x:\dfrac{x}{7}=\dfrac{-6}{7}\)
\(x=\dfrac{-6}{7}.\dfrac{x}{7}\)
\(x=\dfrac{-6.x}{49}\)
\(x=49:\left(-6\right)\)
\(x=-\dfrac{49}{6}\)