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2x-5+x-5+1=12
Combine x and x to get 2x.
3x-5-5+1=12
Combine 2x and x to get 3x.
3x-10+1=12
Subtract 5 from -5 to get -10.
3x-9=12
Add -10 and 1 to get -9.
3x=12+9
Add 9 to both sides.
3x=21
Add 12 and 9 to get 21.
x=\frac{21}{3}
Divide both sides by 3.
x=7
Divide 21 by 3 to get 7.