This is a hard one see if you guys can solve it! Try to!
Find the least positive four-digit solution to the following system of congruences.
\(\begin{align*} 7x &\equiv 21 \pmod{14} \\ 2x+13 &\equiv 16 \pmod{9} \\ -2x+1 &\equiv x \pmod{25} \\ \end{align*}\)