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1=7\left(x-10\right)
Variable x cannot be equal to 10 since division by zero is not defined. Multiply both sides of the equation by x-10.
1=7x-70
Use the distributive property to multiply 7 by x-10.
7x-70=1
Swap sides so that all variable terms are on the left hand side.
7x=1+70
Add 70 to both sides.
7x=71
Add 1 and 70 to get 71.
x=\frac{71}{7}
Divide both sides by 7.