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-x+7+4x=7
Add 4x to both sides.
-x+4x=7-7
Subtract 7 from both sides.
-x+4x=0
Subtract 7 from 7 to get 0.
3x=0
Combine -x and 4x to get 3x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.