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Hi there!
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I believe your answer is:
x = 5
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Here’s why:
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[tex]7x - 8(-x+7)=-16+7\\\--------------\\\rightarrow7x +8x - 56 =-16 + 7x\\\\\rightarrow 15x -56 = 7x - 16\\\\\rightarrow 15x - 7x - 56 = 7x - 7x - 16\\\\\rightarrow 8x - 56 =-16\\\\\rightarrow 8x - 56 + 56 = -16 + 56\\\\\rightarrow 8x = 40\\\\\rightarrow\frac{8x=40}{8}\\\\\rightarrow \boxed{x = 5}[/tex]
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Hope this helps you. I apologize if it’s incorrect.