To solve the equation \( x - 7 = 1 \) for \( x \), you can add 7 to both sides of the equation. This will help isolate \( x \).
Here's the step-by-step process:
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Start with the equation: \[ x - 7 = 1 \]
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Add 7 to both sides: \[ x - 7 + 7 = 1 + 7 \]
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Simplifying both sides gives: \[ x = 8 \]
So, the number that should be added to both sides of the equation is \( 7 \).