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10x-50-5\left(x-3\right)=-x+1
Use the distributive property to multiply 10 by x-5.
10x-50-5x+15=-x+1
Use the distributive property to multiply -5 by x-3.
5x-50+15=-x+1
Combine 10x and -5x to get 5x.
5x-35=-x+1
Add -50 and 15 to get -35.
5x-35+x=1
Add x to both sides.
6x-35=1
Combine 5x and x to get 6x.
6x=1+35
Add 35 to both sides.
6x=36
Add 1 and 35 to get 36.
x=\frac{36}{6}
Divide both sides by 6.
x=6
Divide 36 by 6 to get 6.