IX. \( 10 x+7=77 \)
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To solve the equation \( 10x + 7 = 77 \), we want to isolate \( x \). Start by subtracting 7 from both sides to get \( 10x = 70 \). Then, divide both sides by 10, leading to \( x = 7 \). So, your solution is \( x = 7 \)! A fun way to check your work is to plug \( x = 7 \) back into the original equation. If you calculate \( 10(7) + 7 \), it equals 77, confirming that you’ve got it right! It’s always a good idea to verify your solutions in math for that satisfying “I did it!” moment.