Answer:
Hence, the value of x is 1/39.
Step-by-step explanation:
[tex]\sf \leadsto \dfrac{3x + 1}{x - 2} = \dfrac{-6}{11}[/tex]
[tex]\sf \leadsto 11(3x + 1) = -6(x - 2)[/tex]
[tex]\sf \leadsto 33x + 11 = -6x + 12[/tex]
[tex]\sf \leadsto 33x + 6x = 12 - 11[/tex]
[tex]\sf \leadsto 39x = 1[/tex]
[tex]\sf \leadsto x = \dfrac{1}{39}[/tex]
