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7.5-51.96+5\times 4-20-x\times 6=0
Multiply 8.66 and 6 to get 51.96.
-44.46+5\times 4-20-x\times 6=0
Subtract 51.96 from 7.5 to get -44.46.
-44.46+20-20-x\times 6=0
Multiply 5 and 4 to get 20.
-24.46-20-x\times 6=0
Add -44.46 and 20 to get -24.46.
-44.46-x\times 6=0
Subtract 20 from -24.46 to get -44.46.
-44.46-6x=0
Multiply -1 and 6 to get -6.
-6x=44.46
Add 44.46 to both sides. Anything plus zero gives itself.
x=\frac{44.46}{-6}
Divide both sides by -6.
x=\frac{4446}{-600}
Expand \frac{44.46}{-6} by multiplying both numerator and the denominator by 100.
x=-\frac{741}{100}
Reduce the fraction \frac{4446}{-600} to lowest terms by extracting and canceling out 6.