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10x+11y+x=66
Combine y and 10y to get 11y.
11x+11y=66
Combine 10x and x to get 11x.
11x=66-11y
Subtract 11y from both sides.
\frac{11x}{11}=\frac{66-11y}{11}
Divide both sides by 11.
x=\frac{66-11y}{11}
Dividing by 11 undoes the multiplication by 11.
x=6-y
Divide 66-11y by 11.
10x+11y+x=66
Combine y and 10y to get 11y.
11x+11y=66
Combine 10x and x to get 11x.
11y=66-11x
Subtract 11x from both sides.
\frac{11y}{11}=\frac{66-11x}{11}
Divide both sides by 11.
y=\frac{66-11x}{11}
Dividing by 11 undoes the multiplication by 11.
y=6-x
Divide 66-11x by 11.