\[\boxed{\mathbf{751\ (751)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{52}{63} - \frac{x}{63} = \frac{25}{63}\]
\[52 - x = 25\]
\[x = 52 - 25\]
\[x = 27\]
\[Ответ:27.\]
\[2)\ \frac{x}{38} + \frac{14}{38} = \frac{23}{38}\]
\[x + 14 = 23\]
\[x = 23 - 14\]
\[x = 9\]
\[Ответ:9.\]
\[3)\ \left( \frac{12}{13} + x \right) - \frac{5}{13} = \frac{9}{13}\]
\[\frac{12}{13} + x = \frac{9}{13} + \frac{5}{13}\]
\[x = \frac{14}{13} - \frac{12}{13}\]
\[x = \frac{2}{13}\]
\[Ответ:\frac{2}{13}.\]
\[4)\ \left( x - \frac{21}{31} \right) + \frac{14}{31} = \frac{25}{31}\]
\[x - \frac{21}{31} = \frac{25}{31} - \frac{14}{31}\]
\[x = \frac{11}{31} + \frac{21}{31}\]
\[x = \frac{32}{31}\]
\[Ответ:\frac{32}{31}.\]