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44.11=29.5+0.8\times 147.5x+3.5
Multiply 0.2 and 147.5 to get 29.5.
44.11=29.5+118x+3.5
Multiply 0.8 and 147.5 to get 118.
44.11=33+118x
Add 29.5 and 3.5 to get 33.
33+118x=44.11
Swap sides so that all variable terms are on the left hand side.
118x=44.11-33
Subtract 33 from both sides.
118x=11.11
Subtract 33 from 44.11 to get 11.11.
x=\frac{11.11}{118}
Divide both sides by 118.
x=\frac{1111}{11800}
Expand \frac{11.11}{118} by multiplying both numerator and the denominator by 100.