I was going to say that the 7mm magnum doesn't recoil enough for the brake to beneficial, and that what you need more trigger time to build up your tolerance to recoil. On reflection however, everyone is different and everyone responds to recoil differently. Therefore, anything you can do to make your rifle recoil less and become easier to shoot is beneficial to you. As you might have guessed, I'm not a fan of brakes as I find noise more disturbing then the bump on the shoulder, but that's me not you.
With respect to handling recoil though, ensure the fit is correct for you, most adults do well with a 13"-13.5" LOP. If you rifle doesn't have a good pad on it, get one installed. Ensure you are using a good shooting technique which will minimize recoil. The butt should be inboard on your shoulder in the natural pocket, and not out on your shoulder bone, or down on your arm. If you use a sling which makes it possible to sling up, this lock the rifle to you, will ensure there is sufficient butt to shoulder contact weight, and the recoil impulse is minimized as the rifle and your upper body have become a single unit.
Your scope should be mounted far enough away from your eye so you don't have to be afraid of getting hit by the ocular's rim, IMHO, many folks mount scopes with too much magnification too far behind the cocking piece of their hunting rifles. The flatter the rifle shoots, the more likely it is that it wears a powerful scope with critical eye relief.