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Answer:
x = (ab +a +b +c)/(a +b)
Step-by-step explanation:
Eliminate parentheses, subtract left terms not containing x, divide by the coefficient of x.
[tex]a(x-b)+bx-c=a+b\\\\ax+bx-ab-c=a+b\\\\x(a+b)=ab+a+b+c\\\\\boxed{x=\dfrac{ab+a+b+c}{a+b}}[/tex]
