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Answer:
[tex] \boxed{x = 3}[/tex]
Step-by-step explanation:
[tex] \\ if \: \boxed{line \: lh} \: bisects \: \boxed{ line \: gk }\: into \: equal \: parts \\ if \: \boxed {line \: gk }\: = 24 : \: then \to \\ \boxed {line \: gk }\: is \: also= line \: gm + line \: mk \\24 = \boxed {line \: gm }\: + 12 \\ \boxed {line \: gm}\: = 12 \\ hence \to \\ 2x + 6 = 12 \\ 2x =12 - 6 \\ 2x = 6 \\ \boxed{x = 3}[/tex]