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Question 43828:  Solve.  -3 (10x-3) + 10 (3x-3) = x-7 
 
 Answer by tutorcecilia(2152)      (Show Source): 
You can  put this solution on YOUR website! First, distribute the -3 and the 10: 
-3 (10x-3) + 10 (3x-3) = x-7
 
-30x + 9 + 30x - 30 = x-7 
Combine like-terms: 
-30x + 30x + 9 - 30 = x - 7 
Simplify: 
-21 = x - 7 
Solve for x 
-21 + 7 = x - 7 + 7 
-14 = x 
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Check by plugging x=-14 back into the original equation: 
-3 (10(-14)-3) + 10 (3(-14)-3) = (-14)-7 
Simplify and solve: 
-3 (-140-3) + 10 (-42 - 3) = -21 
-3 (-140-3) + 10 (-42 - 3) = -21 
-3 (-143) + 10 (-45) = -21 
-3 (-143) + 10 (-45) = -21 
429 + (-450) = -21 
-21 = -21 The answer checks out.
 
If you need additional one-on-one math help, feel free to e-mail your problems to tutorcecilia@yahoo.com 
 
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