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x^{2}-8x+7=x^{2}-9x+8
Use the distributive property to multiply x-8 by x-1 and combine like terms.
x^{2}-8x+7-x^{2}=-9x+8
Subtract x^{2} from both sides.
-8x+7=-9x+8
Combine x^{2} and -x^{2} to get 0.
-8x+7+9x=8
Add 9x to both sides.
x+7=8
Combine -8x and 9x to get x.
x=8-7
Subtract 7 from both sides.
x=1
Subtract 7 from 8 to get 1.