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\frac{4.2}{-6}=x
Divide both sides by -6.
\frac{42}{-60}=x
Expand \frac{4.2}{-6} by multiplying both numerator and the denominator by 10.
-\frac{7}{10}=x
Reduce the fraction \frac{42}{-60} to lowest terms by extracting and canceling out 6.
x=-\frac{7}{10}
Swap sides so that all variable terms are on the left hand side.