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\frac{1}{2}+\frac{6}{2}+8x=0
Convert 3 to fraction \frac{6}{2}.
\frac{1+6}{2}+8x=0
Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.
\frac{7}{2}+8x=0
Add 1 and 6 to get 7.
8x=-\frac{7}{2}
Subtract \frac{7}{2} from both sides. Anything subtracted from zero gives its negation.
x=\frac{-\frac{7}{2}}{8}
Divide both sides by 8.
x=\frac{-7}{2\times 8}
Express \frac{-\frac{7}{2}}{8} as a single fraction.
x=\frac{-7}{16}
Multiply 2 and 8 to get 16.
x=-\frac{7}{16}
Fraction \frac{-7}{16} can be rewritten as -\frac{7}{16} by extracting the negative sign.