\[ A = \frac{-7 + 4}{5} \] \[ A = \frac{-3}{5} \]

\[ B = \frac{24}{42} \times \frac{35}{25} \] \[ B = \frac{4 \times 6}{6 \times 7} \times \frac{5 \times 7}{5 \times 5} \] \[ B = \frac{4}{7} \times \frac{7}{5} \] \[ B = \frac{4 \times 7}{7 \times 5} \] \[ B = \frac{28}{35} \] \[ B = \frac{4}{5} \]

\[ -\frac{1}{6} + \frac{3}{7} = \frac{-7 + 18}{42} = \frac{11}{42} \] \[ \frac{5}{6} + \frac{9}{21} = \frac{35 + 18}{42} = \frac{53}{42} \] \[ C = \frac{11}{42} \times \frac{53}{42} = \frac{583}{1764} \]

\[ \frac{3}{2} - \frac{5}{3} = \frac{9 - 10}{6} = \frac{-1}{6} \] \[ \left| \frac{-1}{6} \right| = \frac{1}{6} \] \[ D = \frac{1}{6} + \frac{5}{3} = \frac{1 + 10}{6} = \frac{11}{6} \]

\[ x = \frac{2}{3} \quad \text{أو} \quad x = -\frac{2}{3} \]

\[ \frac{5}{2} - \frac{7}{2} = \frac{-2}{2} = -1 \] \[ |x| = -1 \Rightarrow \text{لا يوجد حل لأن القيمة المطلقة لا يمكن أن تكون سالبة} \]

\[ |x| = \frac{7}{12} \] \[ x = \frac{7}{12} \quad \text{أو} \quad x = -\frac{7}{12} \]

\[ |x| = -\frac{3}{7} \Rightarrow \text{لا يوجد حل} \]

\[ x = -\frac{13}{4} \]

\[ \text{لا يوجد حل لأن } |x| \geq 0 \text{ دائماً} \]