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4x\times \frac{1}{4}+4x\times \frac{1}{4}+4x\times \frac{1}{4}=4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.
x+4x\times \frac{1}{4}+4x\times \frac{1}{4}=4
Cancel out 4 and 4.
x+x+4x\times \frac{1}{4}=4
Cancel out 4 and 4.
2x+4x\times \frac{1}{4}=4
Combine x and x to get 2x.
2x+x=4
Cancel out 4 and 4.
3x=4
Combine 2x and x to get 3x.
x=\frac{4}{3}
Divide both sides by 3.