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5.6-0.7x+x=8\times 0.4
Use the distributive property to multiply 0.7 by 8-x.
5.6+0.3x=8\times 0.4
Combine -0.7x and x to get 0.3x.
5.6+0.3x=3.2
Multiply 8 and 0.4 to get 3.2.
0.3x=3.2-5.6
Subtract 5.6 from both sides.
0.3x=-2.4
Subtract 5.6 from 3.2 to get -2.4.
x=\frac{-2.4}{0.3}
Divide both sides by 0.3.
x=\frac{-24}{3}
Expand \frac{-2.4}{0.3} by multiplying both numerator and the denominator by 10.
x=-8
Divide -24 by 3 to get -8.