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Verified Answer :

Start off by combining like terms on the LHS (the terms with x in them).

So we get \(\frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x\)

Replacing this result with what we had before on the LHS, we get \(\frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}\)

⇒Solve for x (divide both sides \(\frac{-5}{3}\))
⇒Don't forget about reciprocity rules when dividing.  This is the same as multiplying both sides by \(\frac{3}{-5}\)

⇒\(x= \frac{9}{4}( \frac{3}{-5})\)
⇒\(x= -\frac{27}{20}=-1\frac{7}{20}\) ***This is a proper fraction

Add -1/3x and 2x and you get 5/3. Then your equation is 5/3 = 3 3/4. Turn 3 3/4 into a fraction and you get 15/4. Multiply both sides by 3/5 and you have x = 9/4

So the variable represents 9/4