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📰 Solution: Solve $x \equiv 3 \pmod{7}$ and $x \equiv 5 \pmod{9}$. Let $x = 7k + 3$. Substitute into the second congruence: $7k + 3 \equiv 5 \pmod{9} \Rightarrow 7k \equiv 2 \pmod{9}$. The modular inverse of 7 modulo 9 is 4 (since $7 imes 4 = 28 \equiv 1 \pmod{9}$), so $k \equiv 2 imes 4 = 8 \pmod{9}$. Thus, $k = 9m + 8$, and $x = 7(9m + 8) + 3 = 63m + 59$. The solutions are $59, 122, 185, \dots$. Within 1–150, only 59 and 122 satisfy. The count is $oxed{2}$. 📰 Question: What is the greatest common divisor of 98 and 126, representing the maximum batch size for shared reagents in a biotech workflow? 📰 Solution: Factorize 98 as $2 imes 7^2$ and 126 as $2 imes 3^2 imes 7$. The GCD is the product of the lowest powers: $2 imes 7 = 14$. Thus, the GCD is $oxed{14}$. 📰 Penny Arcade Obsessed This Secret Legend Will Leave You Wordless 538676 📰 Can Raven 2 Bring Back Lost Excellence See How This Sequel Outshocks Every Expectation 5347212 📰 Mr East Kitchen 4833896 📰 Nonstop Surge How Gdt Stock Just Broke 50 For The First Time 5629290 📰 Game Simulator Driving 1277471 📰 Pay Water Bill Tampa 2288089 📰 New Balance Meets Miu Miu The Sweeping Trendnt Style You Cant Afford To Miss 657337 📰 Cecred Hair Oil 8818784 📰 Payriots 971176 📰 The Mysterious Black And White Cow Tellin The World Why This Cattle Is A Live Viral Sensation 6144658 📰 Pint To Quart 7150151 📰 You Wont Believe How Addictive Lorry Games Online Arestart Playing Today 6797628 📰 Hidden Trick To Dominate Online Soccer Managerwatch Your Team Rise Instantly 4606274 📰 Define Observe 8569652 📰 Hunts County Bats Ltd 7515790