Line ℓ in the coordinate plane has the equation 3x−5y+40=0. This line is rotated 45∘ counterclockwise about the point (20,20) to obtain line k. What is the x-coordinate of the x-intercept of line k?<spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>15<spanclass=′latex−bold′>(C)</span>20<spanclass=′latex−bold′>(D)</span>25<spanclass=′latex−bold′>(E)</span>30