Question

Help me simplify! -6 - 8(1 - x) = -14 + 8x

Answer 1

The answer:  The equation is true.   x = all real numbers.
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Given:  
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-6 − 8(1 − x) = -14 + 8x ;
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Note the "distributive property of multiplication" :
_______________________________________________a(b+c) = ab +  ac ;
a(b−c) = ab − ac ;_______________________________________________As such:_______________________________________________  -8(1 − x) = (-8 * 1)  − (-8*x) = (-8) − (-8x) = -8 + 8x 

→ So, rewrite the original equation, substituting:  "-8 + 8x" for:  "−8(1 − x)" :

 →     - 6 − 8 + 8x  = -14 + 8x ;
Note:  -6 − 8 = -14 ;  

Rewrite as: 
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-14 + 8x = -14 + 8x ; 
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The answer:  The equation is true.   x = all real numbers.
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