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12x=1.6\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=11.2x+1.6
Use the distributive property to multiply 1.6 by 7x+1.
12x-11.2x=1.6
Subtract 11.2x from both sides.
0.8x=1.6
Combine 12x and -11.2x to get 0.8x.
x=\frac{1.6}{0.8}
Divide both sides by 0.8.
x=\frac{16}{8}
Expand \frac{1.6}{0.8} by multiplying both numerator and the denominator by 10.
x=2
Divide 16 by 8 to get 2.