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-x+3=3
Swap sides so that all variable terms are on the left hand side.
-x=3-3
Subtract 3 from both sides.
-x=0
Subtract 3 from 3 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.