BRUSSELS, Dec 5 (Reuters) - Europe is forging ahead with its crackdown on Big Tech, levying fines on Alphabet's Google and Elon Musk's X and opening new investigations, asserting its sovereign right to enforce its laws in defiance of U.S. President Donald Trump.

Three months after hitting Google with an unexpectedly high 2.95 billion euro ($3.44 billion) fine, the European Commission on Friday imposed a 120 million euro penalty on Elon Musk's X for breaching European Union online content rules.