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-4(x + 1) + 7x = 8
-4x - 4 + 7x = 8
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4 <===
        
             
        
        
        
Answer:
7/2
Step-by-step explanation:
 
        
                    
             
        
        
        
1. Out of a study of 64 dentists, 56 recommended.
2. 3 is the answer. Hope you do well on your test :)))
        
                    
             
        
        
        
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post.  would you please post just one question at a time to avoid this.
I'll focus on your second question only:  Solve <span>3 + |2x - 4| = 15.
Subtr. 3 from both sides.  Result:  |2x - 4| = 12
Divide all terms by 2, to reduce:    |x - 2| = 6
Case 1:  x-2 is already +, so we don't need |    |:
                       x - 2 = 6    =>   x = 8 (first answer)
Case 2:  x-2 is negative, so |2x-4| = -(2x-4) = 6
             Then   -2x + 8 = 6.  Subtr. 8 from both sides:   -2x = -2
               Div both sides by -2:  x = 1 (second answer)
Be sure to check these results by subst. them into the original equation.
Please post your other questions separately.  Thanks and good luck!
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