We report on a search for eleven lepton-number violating processes B + → X − ℓ + ℓ ' + with X − = K − , π − , ρ − , K * − , or D − and ℓ + / ℓ ' + = e + or μ + , using a sample of 471 ± 3 million B ¯ B events collected with the BABAR detector at the PEP-II e + e − collider at the SLAC National Accelerator Laboratory. We find no evidence for any of these modes and place 90% confidence level upper limits on their branching fractions in the range ( 1.5 - 26 ) × 1 0 − 7 .