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9-2x-8-10\left(25-x+4\right)=5-3x-4\left(x+1\right)
Use the distributive property to multiply -2 by x+4.
1-2x-10\left(25-x+4\right)=5-3x-4\left(x+1\right)
Subtract 8 from 9 to get 1.
1-2x-10\left(29-x\right)=5-3x-4\left(x+1\right)
Add 25 and 4 to get 29.
1-2x-290+10x=5-3x-4\left(x+1\right)
Use the distributive property to multiply -10 by 29-x.
-289-2x+10x=5-3x-4\left(x+1\right)
Subtract 290 from 1 to get -289.
-289+8x=5-3x-4\left(x+1\right)
Combine -2x and 10x to get 8x.
-289+8x=5-3x-4x-4
Use the distributive property to multiply -4 by x+1.
-289+8x=5-7x-4
Combine -3x and -4x to get -7x.
-289+8x=1-7x
Subtract 4 from 5 to get 1.
-289+8x+7x=1
Add 7x to both sides.
-289+15x=1
Combine 8x and 7x to get 15x.
15x=1+289
Add 289 to both sides.
15x=290
Add 1 and 289 to get 290.
x=\frac{290}{15}
Divide both sides by 15.
x=\frac{58}{3}
Reduce the fraction \frac{290}{15} to lowest terms by extracting and canceling out 5.