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\frac{2}{3}x+\frac{2}{3}x-1=0
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.
\frac{4}{3}x-1=0
Combine \frac{2}{3}x and \frac{2}{3}x to get \frac{4}{3}x.
\frac{4}{3}x=1
Add 1 to both sides. Anything plus zero gives itself.
x=1\times \frac{3}{4}
Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.
x=\frac{3}{4}
Multiply 1 and \frac{3}{4} to get \frac{3}{4}.