Упростим уравнение:
\[-\frac{2}{5}x - \frac{2}{5} = \frac{7}{9}\]
\[-\frac{2}{5}x = \frac{7}{9} + \frac{2}{5}\]
\[-\frac{2}{5}x = \frac{7 cdot 5 + 2 cdot 9}{45}\]
\[-\frac{2}{5}x = \frac{35 + 18}{45}\]
\[-\frac{2}{5}x = \frac{53}{45}\]
\[x = \frac{53}{45} cdot \left(-\frac{5}{2}\right)\]
\[x = -\frac{53 \cdot 5}{45 \cdot 2}\]
\[x = -\frac{53}{9 \cdot 2}\]
\[x = -\frac{53}{18}\]
Ответ: -53/18