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x-1+5x-5+1=7
Use the distributive property to multiply 5 by x-1.
6x-1-5+1=7
Combine x and 5x to get 6x.
6x-6+1=7
Subtract 5 from -1 to get -6.
6x-5=7
Add -6 and 1 to get -5.
6x=7+5
Add 5 to both sides.
6x=12
Add 7 and 5 to get 12.
x=\frac{12}{6}
Divide both sides by 6.
x=2
Divide 12 by 6 to get 2.