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\frac{1}{2}x+1=\frac{4}{9}
Square both sides of the equation.
\frac{1}{2}x+1-1=\frac{4}{9}-1
Subtract 1 from both sides of the equation.
\frac{1}{2}x=\frac{4}{9}-1
Subtracting 1 from itself leaves 0.
\frac{1}{2}x=-\frac{5}{9}
Subtract 1 from \frac{4}{9}.
\frac{\frac{1}{2}x}{\frac{1}{2}}=-\frac{\frac{5}{9}}{\frac{1}{2}}
Multiply both sides by 2.
x=-\frac{\frac{5}{9}}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=-\frac{10}{9}
Divide -\frac{5}{9} by \frac{1}{2} by multiplying -\frac{5}{9} by the reciprocal of \frac{1}{2}.