What is the largest negative integer $x$ satisfying $$24x \equiv 15 \pmod{1199}~?$$
Question:
What is the largest negative integer $x$ satisfying $$24x \equiv 15 \pmod{1199}~?$$
Answer:
Let's think step by step.

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What is the largest negative integer $x$ satisfying $$24x \equiv 15 \pmod{1199}~?$$
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