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1x+20\times \frac{1}{2}-x\times \frac{1}{2}=11
Use the distributive property to multiply 20-x by \frac{1}{2}.
1x+\frac{20}{2}-x\times \frac{1}{2}=11
Multiply 20 and \frac{1}{2} to get \frac{20}{2}.
1x+10-x\times \frac{1}{2}=11
Divide 20 by 2 to get 10.
1x+10-\frac{1}{2}x=11
Multiply -1 and \frac{1}{2} to get -\frac{1}{2}.
\frac{1}{2}x+10=11
Combine 1x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x=11-10
Subtract 10 from both sides.
\frac{1}{2}x=1
Subtract 10 from 11 to get 1.
x=1\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=2
Multiply 1 and 2 to get 2.