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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