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2x-6+5\left(x-7\right)=0
Use the distributive property to multiply 2 by x-3.
2x-6+5x-35=0
Use the distributive property to multiply 5 by x-7.
7x-6-35=0
Combine 2x and 5x to get 7x.
7x-41=0
Subtract 35 from -6 to get -41.
7x=41
Add 41 to both sides. Anything plus zero gives itself.
x=\frac{41}{7}
Divide both sides by 7.