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1.29x=1.05\times 0.2+1.5\times 0.8
Multiply 1.5 and 0.7 to get 1.05.
1.29x=0.21+1.5\times 0.8
Multiply 1.05 and 0.2 to get 0.21.
1.29x=0.21+1.2
Multiply 1.5 and 0.8 to get 1.2.
1.29x=1.41
Add 0.21 and 1.2 to get 1.41.
x=\frac{1.41}{1.29}
Divide both sides by 1.29.
x=\frac{141}{129}
Expand \frac{1.41}{1.29} by multiplying both numerator and the denominator by 100.
x=\frac{47}{43}
Reduce the fraction \frac{141}{129} to lowest terms by extracting and canceling out 3.