Solve for α
\alpha =\frac{x-11\beta }{9}
Solve for x
x=9\alpha +11\beta
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9\alpha =x-11\beta
Subtract 11\beta from both sides.
\frac{9\alpha }{9}=\frac{x-11\beta }{9}
Divide both sides by 9.
\alpha =\frac{x-11\beta }{9}
Dividing by 9 undoes the multiplication by 9.
x=9\alpha +11\beta
Swap sides so that all variable terms are on the left hand side.
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