A gaseous reaction mixture containing \(\text{N}_2\text{O}_4\text{(g)}\) and \(\text{NO}_2\text{(g)}\) is at equilibrium inside a cylinder fitted with a movable piston at a constant temperature, as represented by the equation \(\text{N}_2\text{O}_4\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}\). The piston is pushed inward to decrease the volume of the container to half its initial volume. Which of the following best predicts the response of the system to re-establish equilibrium and gives the correct reasoning?