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-2.2x+35-\frac{1}{2}x=0
Subtract \frac{1}{2}x from both sides.
-\frac{27}{10}x+35=0
Combine -2.2x and -\frac{1}{2}x to get -\frac{27}{10}x.
-\frac{27}{10}x=-35
Subtract 35 from both sides. Anything subtracted from zero gives its negation.
x=-35\left(-\frac{10}{27}\right)
Multiply both sides by -\frac{10}{27}, the reciprocal of -\frac{27}{10}.
x=\frac{-35\left(-10\right)}{27}
Express -35\left(-\frac{10}{27}\right) as a single fraction.
x=\frac{350}{27}
Multiply -35 and -10 to get 350.