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6x+10+38x=0
Add 38x to both sides.
44x+10=0
Combine 6x and 38x to get 44x.
44x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-10}{44}
Divide both sides by 44.
x=-\frac{5}{22}
Reduce the fraction \frac{-10}{44} to lowest terms by extracting and canceling out 2.