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1.08\left(2x+48\right)=6\times 18\times 1.6
Multiply 0.54 and 2 to get 1.08.
2.16x+51.84=6\times 18\times 1.6
Use the distributive property to multiply 1.08 by 2x+48.
2.16x+51.84=108\times 1.6
Multiply 6 and 18 to get 108.
2.16x+51.84=172.8
Multiply 108 and 1.6 to get 172.8.
2.16x=172.8-51.84
Subtract 51.84 from both sides.
2.16x=120.96
Subtract 51.84 from 172.8 to get 120.96.
x=\frac{120.96}{2.16}
Divide both sides by 2.16.
x=\frac{12096}{216}
Expand \frac{120.96}{2.16} by multiplying both numerator and the denominator by 100.
x=56
Divide 12096 by 216 to get 56.