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3\left(x+3\right)=4\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 3\left(x-1\right), the least common multiple of x-1,3.
3x+9=4\left(x-1\right)
Use the distributive property to multiply 3 by x+3.
3x+9=4x-4
Use the distributive property to multiply 4 by x-1.
3x+9-4x=-4
Subtract 4x from both sides.
-x+9=-4
Combine 3x and -4x to get -x.
-x=-4-9
Subtract 9 from both sides.
-x=-13
Subtract 9 from -4 to get -13.
x=13
Multiply both sides by -1.