a) \(\dfrac{2}{35}x+\dfrac{5}{7}=\dfrac{3}{10}\)
\(\dfrac{2}{35}x=\dfrac{3}{10}-\dfrac{5}{7}=\dfrac{21}{70}-\dfrac{50}{70}\)
\(\dfrac{2}{35}x=-\dfrac{29}{70}\)
\(x=-\dfrac{29}{70}:\dfrac{2}{35}=-\dfrac{29}{70}.\dfrac{35}{2}\)
\(x=-\dfrac{29}{4}\)
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b) \(x+\dfrac{3}{5}=\left(\dfrac{-2}{5}\right)^2\)
\(x+\dfrac{3}{5}=\dfrac{4}{25}\)
\(x=\dfrac{4}{25}-\dfrac{3}{5}=\dfrac{4}{25}-\dfrac{15}{25}\)
\(x=\dfrac{-11}{25}\)
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c) \(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14}\)
\(\dfrac{1}{7}:x=\dfrac{3}{14}-\dfrac{3}{7}=\dfrac{3}{14}-\dfrac{6}{14}\)
\(\dfrac{1}{7}:x=\dfrac{-3}{14}\)
\(x=\dfrac{1}{7}:-\dfrac{3}{14}=\dfrac{1}{7}.-\dfrac{14}{3}\)
\(x=-\dfrac{2}{3}\)
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d) \(-\dfrac{1}{3}\left(\dfrac{1}{7}-x\right)=\dfrac{1}{21}\)
\(\dfrac{1}{7}-x=\dfrac{1}{21}:\dfrac{-1}{3}=\dfrac{1}{21}.\left(-3\right)\)
\(\dfrac{1}{7}-x=-\dfrac{1}{7}\)
\(x=\dfrac{1}{7}+\dfrac{1}{7}\)
\(x=\dfrac{2}{7}\)