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"12" is the correct value of "x" which satisfies the given equation.

The given equation is:

→  [tex]\frac{x}{4} +\frac{x}{2} =9[/tex]

By taking L.C.M, we get

→  [tex]\frac{x+2x}{4}= 9[/tex]

→  [tex]\frac{3x}{4} =9[/tex]

By applying cross-multiplication, we get

→  [tex]3x=36[/tex]

→    [tex]x = \frac{36}{3}[/tex]

→       [tex]= 12[/tex]

Thus the above is the right answer.

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