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0.3x-0.5+0.4x=1
Add 0.4x to both sides.
0.7x-0.5=1
Combine 0.3x and 0.4x to get 0.7x.
0.7x=1+0.5
Add 0.5 to both sides.
0.7x=1.5
Add 1 and 0.5 to get 1.5.
x=\frac{1.5}{0.7}
Divide both sides by 0.7.
x=\frac{15}{7}
Expand \frac{1.5}{0.7} by multiplying both numerator and the denominator by 10.