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828-1242x=-2x-27
Use the distributive property to multiply 414 by 2-3x.
828-1242x+2x=-27
Add 2x to both sides.
828-1240x=-27
Combine -1242x and 2x to get -1240x.
-1240x=-27-828
Subtract 828 from both sides.
-1240x=-855
Subtract 828 from -27 to get -855.
x=\frac{-855}{-1240}
Divide both sides by -1240.
x=\frac{171}{248}
Reduce the fraction \frac{-855}{-1240} to lowest terms by extracting and canceling out -5.