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16\left(x+1\right)+12x=3\times 4
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 48\left(x+3\right), the least common multiple of 3x+9,4x+12,16x+48.
16x+16+12x=3\times 4
Use the distributive property to multiply 16 by x+1.
28x+16=3\times 4
Combine 16x and 12x to get 28x.
28x+16=12
Multiply 3 and 4 to get 12.
28x=12-16
Subtract 16 from both sides.
28x=-4
Subtract 16 from 12 to get -4.
x=\frac{-4}{28}
Divide both sides by 28.
x=-\frac{1}{7}
Reduce the fraction \frac{-4}{28} to lowest terms by extracting and canceling out 4.