To solve the equation \( \frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!} \), we will follow these steps:
### Step 1: Rewrite the factorials
We know that:
- \( 7! = 7 \times 6! \)
- \( 8! = 8 \times 7! = 8 \times 7 \times 6! \)
Using these relationships, we can rewrite the fractions:
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