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44.11=29.5+0.9\times 147.5x+3.5
Multiply 0.2 and 147.5 to get 29.5.
44.11=29.5+132.75x+3.5
Multiply 0.9 and 147.5 to get 132.75.
44.11=33+132.75x
Add 29.5 and 3.5 to get 33.
33+132.75x=44.11
Swap sides so that all variable terms are on the left hand side.
132.75x=44.11-33
Subtract 33 from both sides.
132.75x=11.11
Subtract 33 from 44.11 to get 11.11.
x=\frac{11.11}{132.75}
Divide both sides by 132.75.
x=\frac{1111}{13275}
Expand \frac{11.11}{132.75} by multiplying both numerator and the denominator by 100.