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4x+6=6-x
Add 2 and 4 to get 6.
4x+6+x=6
Add x to both sides.
5x+6=6
Combine 4x and x to get 5x.
5x=6-6
Subtract 6 from both sides.
5x=0
Subtract 6 from 6 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, x must be equal to 0.