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\sqrt{6x+1}+9-9=16-9
Subtract 9 from both sides of the equation.
\sqrt{6x+1}=16-9
Subtracting 9 from itself leaves 0.
\sqrt{6x+1}=7
Subtract 9 from 16.
6x+1=49
Square both sides of the equation.
6x+1-1=49-1
Subtract 1 from both sides of the equation.
6x=49-1
Subtracting 1 from itself leaves 0.
6x=48
Subtract 1 from 49.
\frac{6x}{6}=\frac{48}{6}
Divide both sides by 6.
x=\frac{48}{6}
Dividing by 6 undoes the multiplication by 6.
x=8
Divide 48 by 6.