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Home » \( x - 7 = 5 \) - Appfinity Technologies

\( x - 7 = 5 \) - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Start with the first two:

📌 Step 1: Solve \( N \equiv 3 \pmod{4} \) and \( N \equiv 2 \pmod{5} \)

📌 Let \( N = 4a + 3 \). Substitute into second:

📌 4a + 3 \equiv 2 \pmod{5} \Rightarrow 4a \equiv -1 \equiv 4 \pmod{5} \Rightarrow a \equiv 1 \pmod{5}

📌 So \( a = 5b + 1 \), then \( N = 4(5b + 1) + 3 = 20b + 7 \)

📌 Thus, \( N \equiv 7 \pmod{20} \)

📌 Step 2: Incorporate \( N \equiv 4 \pmod{7} \)

📌 Let \( N = 20b + 7 \). Then:

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