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0.6x=117-0.5x
Use the distributive property to multiply 0.5 by 234-x.
0.6x+0.5x=117
Add 0.5x to both sides.
1.1x=117
Combine 0.6x and 0.5x to get 1.1x.
x=\frac{117}{1.1}
Divide both sides by 1.1.
x=\frac{1170}{11}
Expand \frac{117}{1.1} by multiplying both numerator and the denominator by 10.