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12x=0\times 4\times 4\left(7x+1\right)
Variable x cannot be equal to -\frac{1}{7} since division by zero is not defined. Multiply both sides of the equation by 4\left(7x+1\right).
12x=0\times 4\left(7x+1\right)
Multiply 0 and 4 to get 0.
12x=0\left(7x+1\right)
Multiply 0 and 4 to get 0.
12x=0
Anything times zero gives zero.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 12 is not equal to 0, x must be equal to 0.