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3.4x-14-14.6x=42
Subtract 14.6x from both sides.
-11.2x-14=42
Combine 3.4x and -14.6x to get -11.2x.
-11.2x=42+14
Add 14 to both sides.
-11.2x=56
Add 42 and 14 to get 56.
x=\frac{56}{-11.2}
Divide both sides by -11.2.
x=\frac{560}{-112}
Expand \frac{56}{-11.2} by multiplying both numerator and the denominator by 10.
x=-5
Divide 560 by -112 to get -5.