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Solve for x
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1=1+2x
Cancel out 2 and 2.
1+2x=1
Swap sides so that all variable terms are on the left hand side.
2x=1-1
Subtract 1 from both sides.
2x=0
Subtract 1 from 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.