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\frac{88}{21}x+34=0
Combine \frac{27}{7}x and \frac{1}{3}x to get \frac{88}{21}x.
\frac{88}{21}x=-34
Subtract 34 from both sides. Anything subtracted from zero gives its negation.
x=-34\times \frac{21}{88}
Multiply both sides by \frac{21}{88}, the reciprocal of \frac{88}{21}.
x=\frac{-34\times 21}{88}
Express -34\times \frac{21}{88} as a single fraction.
x=\frac{-714}{88}
Multiply -34 and 21 to get -714.
x=-\frac{357}{44}
Reduce the fraction \frac{-714}{88} to lowest terms by extracting and canceling out 2.