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To solve the equation \( x - 7 = 13 \), you simply need to isolate \( x \). Start by adding 7 to both sides of the equation. This gives you \( x - 7 + 7 = 13 + 7 \), which simplifies to \( x = 20 \). Voila! You've found that \( x = 20 \). Equations like this one show the beauty of algebra: a few simple steps can unlock unknowns! They can represent real-world scenarios, such as calculating budgets or predicting outcomes, proving that math isn't just numbers; it's a powerful tool for understanding the world around us!