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\frac{\left(8+1\right)\left(\left(4+1\right)x+3\times 4+2\right)}{2\times 4+3}=4+5
Multiply 2 and 4 to get 8.
\frac{9\left(\left(4+1\right)x+3\times 4+2\right)}{2\times 4+3}=4+5
Add 8 and 1 to get 9.
\frac{9\left(5x+3\times 4+2\right)}{2\times 4+3}=4+5
Add 4 and 1 to get 5.
\frac{9\left(5x+12+2\right)}{2\times 4+3}=4+5
Multiply 3 and 4 to get 12.
\frac{9\left(5x+14\right)}{2\times 4+3}=4+5
Add 12 and 2 to get 14.
\frac{9\left(5x+14\right)}{8+3}=4+5
Multiply 2 and 4 to get 8.
\frac{9\left(5x+14\right)}{11}=4+5
Add 8 and 3 to get 11.
\frac{9\left(5x+14\right)}{11}=9
Add 4 and 5 to get 9.
\frac{45x+126}{11}=9
Use the distributive property to multiply 9 by 5x+14.
\frac{45}{11}x+\frac{126}{11}=9
Divide each term of 45x+126 by 11 to get \frac{45}{11}x+\frac{126}{11}.
\frac{45}{11}x=9-\frac{126}{11}
Subtract \frac{126}{11} from both sides.
\frac{45}{11}x=\frac{99}{11}-\frac{126}{11}
Convert 9 to fraction \frac{99}{11}.
\frac{45}{11}x=\frac{99-126}{11}
Since \frac{99}{11} and \frac{126}{11} have the same denominator, subtract them by subtracting their numerators.
\frac{45}{11}x=-\frac{27}{11}
Subtract 126 from 99 to get -27.
x=-\frac{27}{11}\times \frac{11}{45}
Multiply both sides by \frac{11}{45}, the reciprocal of \frac{45}{11}.
x=\frac{-27\times 11}{11\times 45}
Multiply -\frac{27}{11} times \frac{11}{45} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-27}{45}
Cancel out 11 in both numerator and denominator.
x=-\frac{3}{5}
Reduce the fraction \frac{-27}{45} to lowest terms by extracting and canceling out 9.