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6x-11.34-4.2x=10.62
Subtract 4.2x from both sides.
1.8x-11.34=10.62
Combine 6x and -4.2x to get 1.8x.
1.8x=10.62+11.34
Add 11.34 to both sides.
1.8x=21.96
Add 10.62 and 11.34 to get 21.96.
x=\frac{21.96}{1.8}
Divide both sides by 1.8.
x=\frac{2196}{180}
Expand \frac{21.96}{1.8} by multiplying both numerator and the denominator by 100.
x=\frac{61}{5}
Reduce the fraction \frac{2196}{180} to lowest terms by extracting and canceling out 36.