His perfectly orderly life collapsed when his drug-addicted brother showed up.
Literal
His perfectly orderly life [topic-は] drug-addiction [possessive-の] sibling [subject-が] appeared time [to-に] collapsed.
完ぺきに秩序正しい ('perfectly orderly') stacks the loanword 完ぺき with the adjective 秩序正しい. 麻薬中毒 (まやくちゅうどく, 'drug addiction') is the clinical term. 崩壊した (ほうかいした, 'collapsed') is dramatic — used for buildings, civilizations, and lives falling apart. 現れた時に ('when [the brother] appeared') is the temporal trigger. A powerful dramatic setup.