Since the coefficient of \(y\) in the line \(x=7\) is 0, it's a vertical line. The line that we want to find is parallel to \(x=7\), so that line is vertical, too, i.e., it has the form \(x=k\).
Then, as the line cointains the point \((-3,2)\), which has the x-coordinate equal to -3, our line is \(\boxed{\boxed{x=-3}}\).