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\sqrt{7x+2}+9-9=12-9
Subtract 9 from both sides of the equation.
\sqrt{7x+2}=12-9
Subtracting 9 from itself leaves 0.
\sqrt{7x+2}=3
Subtract 9 from 12.
7x+2=9
Square both sides of the equation.
7x+2-2=9-2
Subtract 2 from both sides of the equation.
7x=9-2
Subtracting 2 from itself leaves 0.
7x=7
Subtract 2 from 9.
\frac{7x}{7}=\frac{7}{7}
Divide both sides by 7.
x=\frac{7}{7}
Dividing by 7 undoes the multiplication by 7.
x=1
Divide 7 by 7.