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x+7=3\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
x+7=3x-3
Use the distributive property to multiply 3 by x-1.
x+7-3x=-3
Subtract 3x from both sides.
-2x+7=-3
Combine x and -3x to get -2x.
-2x=-3-7
Subtract 7 from both sides.
-2x=-10
Subtract 7 from -3 to get -10.
x=\frac{-10}{-2}
Divide both sides by -2.
x=5
Divide -10 by -2 to get 5.