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### This Is a Certified Answer

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*12 = (3/2 + x/3)/(1/6 + 1/3)*

*lcm of 2,3=6*

*lcm of 6,3=6*

*12 = (9+2x)/6)/(1+2)/6)*

*take reciprocal and multiply*

*so 6 and 6 will cancel*

*12=9+2x/3*

*cross multiply 3 with 12*

*9+2x=36*

*2x=36-9*

*2x=27*

*x=27/2 or 13.53*

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

36 = 9 + 2x

2x = 27

x = 13.5