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\frac{7\sqrt{3}+7}{2}=x
Use the distributive property to multiply 7 by \sqrt{3}+1.
\frac{7}{2}\sqrt{3}+\frac{7}{2}=x
Divide each term of 7\sqrt{3}+7 by 2 to get \frac{7}{2}\sqrt{3}+\frac{7}{2}.
x=\frac{7}{2}\sqrt{3}+\frac{7}{2}
Swap sides so that all variable terms are on the left hand side.