"I can't be bothered to" meaning I have no interest in something : "je m'en fou de ...." but that would be quite direct and blunt, a softer version would be "ce sujet m'indiffère, tes problèmes m'indiffèrent" meaning you don't care but in a soft sense, quite close to the "I can't be bothered to hear about your problems". I can't be bothered to = je suis indifférent à.