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0.09x+0.7x=0.4
Multiply 0.3 and 0.3 to get 0.09.
0.79x=0.4
Combine 0.09x and 0.7x to get 0.79x.
x=\frac{0.4}{0.79}
Divide both sides by 0.79.
x=\frac{40}{79}
Expand \frac{0.4}{0.79} by multiplying both numerator and the denominator by 100.