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3x-9+1=-5x+7x-3
Combine 6x and -3x to get 3x.
3x-8=-5x+7x-3
Add -9 and 1 to get -8.
3x-8=2x-3
Combine -5x and 7x to get 2x.
3x-8-2x=-3
Subtract 2x from both sides.
x-8=-3
Combine 3x and -2x to get x.
x=-3+8
Add 8 to both sides.
x=5
Add -3 and 8 to get 5.