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Combine equal parts water, liquid dish soap, and salt in a spacious container and stir them together until they form a thin paste. Use a clean cloth or sponge to spread this paste onto every exposed part of the wall in sections. Then, allow it to soak into the brick for at least 10 minutes.  The exact quantity you mix up will depend on the size of the wall you’re cleaning. It may be necessary to prepare multiple batches of the solution if you’re cleaning an entire wall. As the solution sits on the brick, the salt will gradually wear down the tiny particles of plaster left behind while the detergent in the dish soap lifts away set-in dirt and oil. This solution is also perfect for regular cleanings once you've got your brick fully exposed and sealed. Dunk your cloth or sponge in a container of clean, warm water and use it to wash away the soap solution, along with any dust and debris it’s collected. Move your cloth or sponge along in smooth back-and-forth or circular motions, starting with the upper section of the wall. Continue rinsing until the brick is completely free of soapy residue.  Wring out your cloth or sponge frequently, and change out the water in your container as soon as it becomes so murky that you can no longer see the bottom. Other options for cleaning exposed brick include sandblasting and applications of muriatic acid. Keep in mind, however, that these methods are far less gentle than a homemade soap solution, and are therefore more likely to damage brick that’s become brittle with age. Apply the sealant the way you would ordinary paint, aiming for full, even coverage. Allow your first coat to dry for 2-3 hours, or until it’s no longer tacky to the touch. Then, throw on a follow-up coat. Let this final coat cure for at least 1 week prior to decorating, painting, or otherwise interfering with the exposed brick.  Choose a 100% acrylic sealant that’s resistant to dirt, water, and scratches. Make sure the sealant you get offers a matte finish—you don’t want to accidentally coat your brick in a high-luster gloss! A good brick sealant will safeguard your brick from deterioration as a result of exposure to air and moisture. This is especially important if the brick is more than a few years old.

Summary:
Apply a mild soap solution to the wall and let it sit for 10 minutes. Wipe the entire wall with a wet cloth or sponge. Roll or brush on 1-2 coats of brick sealant to protect the exposed brick.