Given the following premises: (1) ∀x (A(x) → B(x)) (2) ∀x (B(x) → C(x)) Prove the conclusion ∀x (A(x) → C(x)) using the rules of first-order logic. Show your step-by-step reasoning.

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Given the following premises:

(1) ∀x (A(x) → B(x))
(2) ∀x (B(x) → C(x))

Prove the conclusion ∀x (A(x) → C(x)) using the rules of first-order logic. Show your step-by-step reasoning.

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