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3x+4=4\left(x+9\right)
Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by x+9.
3x+4=4x+36
Use the distributive property to multiply 4 by x+9.
3x+4-4x=36
Subtract 4x from both sides.
-x+4=36
Combine 3x and -4x to get -x.
-x=36-4
Subtract 4 from both sides.
-x=32
Subtract 4 from 36 to get 32.
x=-32
Multiply both sides by -1.