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7x+7=x+7
Use the distributive property to multiply 7 by x+1.
7x+7-x=7
Subtract x from both sides.
6x+7=7
Combine 7x and -x to get 6x.
6x=7-7
Subtract 7 from both sides.
6x=0
Subtract 7 from 7 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.