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(a) Solve for x the equation $$\frac{x+5}{2018} + \frac{x+4}{2019} + \frac{x+3}{2020} + \frac{x+2}{2021} + \frac{x+1}{2022} + \frac{x}{2023} = -6$$.
(b) $$\frac{a^2+b^2}{725} = \frac{b^2+c^2}{149} = \frac{c^2+a^2}{674}$$ and $$a - c = 18$$, find the value of $$(a + b + c)$$.
Correct Answer: -2023
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