A positive charge is at the center of a spherical Gaussian surface. The strength of the field due to the charge is the same everywhere on the surface of the sphere, and the flux through the sphere equals this strength times the area of the sphere. Now the charge is moved off center, very close to a point on the sphere's surface, but still inside the sphere. Due to the proximity of the charge, the flux through the nearby surface of the sphere increases significantly. Does the total flux through the sphere increase, decrease, or stay the same? Explain your answer.