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75x-90=27x+270
Use the distributive property to multiply 27 by x+10.
75x-90-27x=270
Subtract 27x from both sides.
48x-90=270
Combine 75x and -27x to get 48x.
48x=270+90
Add 90 to both sides.
48x=360
Add 270 and 90 to get 360.
x=\frac{360}{48}
Divide both sides by 48.
x=\frac{15}{2}
Reduce the fraction \frac{360}{48} to lowest terms by extracting and canceling out 24.