This Phase 1 study will evaluate escalating doses of orally administered MGCD0103 in combination with two fixed doses (60 mg/m2 and 75 mg/m2) of IV docetaxel. In the US, docetaxel is recommended at these or even higher doses (up to 100 mg/m2), both as a single agent or in combination with other cytotoxic drugs (e.g., cisplatin, doxorubicin, cyclophosphamide, and 5-fluorouracil), for the treatment of NSCLC, prostate cancer, gastric adenocarcinoma, and head and neck cancer. In Japan, 60 mg/m2 IV docetaxel is the approved dose for the treatment of breast cancer.