\[\boxed{\mathbf{112}.}\]
\[1)\ a(x - 14) = 56\]
\[x = 21:\]
\[a(21 - 14) = 56\]
\[a \cdot 7 = 56\]
\[a = 56\ :7\]
\[a = 8.\]
\[Ответ:при\ a = 8.\]
\[2)\ a\ :(x - 6) = 8\]
\[x = 13:\]
\[a\ :(13 - 6) = 8\]
\[a\ :7 = 8\]
\[a = 8 \cdot 7\]
\[a = 56.\]
\[Ответ:при\ a = 56.\]