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Answer:
[tex]x>\frac{27}{2}[/tex]
Step-by-step explanation:
[tex]-12x-38<-200[/tex]
add 38 to both sides of the inequality
[tex]-12x<-162[/tex]
divide by negative -12 on both sides of the inequality, flip the sign, and simplify
[tex]x>\frac{27}{2}[/tex]