Remove any peeling or flaking paint from the repair area with the wire brush. Clear any debris from the damaged site with the brush as well, cleaning out any cracks or crevices in the wall completely.
Chip away loose stone from the wall with a chisel and hammer. Place the chisel against the base of the hanging piece of stone, and strike it firmly with the hammer, cutting the piece away.
Wash the surface of the wall surrounding the damaged area, as well as within the cracks with a pH-neutral cleaner. Use a nylon brush to wash within the cracks and holes in the wall, and a scrub brush for the area surrounding them. Rinse off the wall with clean water, and allow it to dry for six hours.
Begin repairs with small cracks or openings in the cement measuring no more than 1/4 inch in depth or 1/8 inch in width. Fill these small areas with joint repair sealant, using a putty knife to stuff the area to the top with the material. Scrape the edge of the knife along the surface of the patch after filling it to level the patch with the surrounding wall surface.
Prepare larger damaged areas for filling by brushing the inside of the damaged area with an epoxy gel adhesive. Wait for the adhesive to dry until it reaches the tacky stage -- still sticky but not wet. Fill in the damaged area with shrink-resistant repair mortar. Use a trowel to apply the mortar in 1/4-inch layers until you reach the surface. Scrape the surface with the edge of the trowel to level the mortar off, and then let the repairs dry overnight.
Sand the repair area with a sanding block containing medium-grit sandpaper until smooth. Wipe the patch clear of residue with a clean cloth.
Paint the patched concrete with an epoxy paint the same color as that surrounding the patched area. Use a paint roller for smooth paint application, and then allow the paint 72 hours to dry. If the paint does not blend in with the surrounding surface, paint the entire wall for color continuity.