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7x+6=1\times 7+1
Multiply both sides of the equation by 7.
7x+6=7+1
Multiply 1 and 7 to get 7.
7x+6=8
Add 7 and 1 to get 8.
7x=8-6
Subtract 6 from both sides.
7x=2
Subtract 6 from 8 to get 2.
x=\frac{2}{7}
Divide both sides by 7.