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3x+4=7x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
3x+4-7x=0
Subtract 7x from both sides.
-4x+4=0
Combine 3x and -7x to get -4x.
-4x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-4}{-4}
Divide both sides by -4.
x=1
Divide -4 by -4 to get 1.