To solve the equation \( 7x - 9 = 61 \), follow these steps:
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Add 9 to both sides of the equation: \[ 7x - 9 + 9 = 61 + 9 \] Simplifying this gives: \[ 7x = 70 \]
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Now, divide both sides by 7 to solve for \( x \): \[ x = \frac{70}{7} \] Simplifying this gives: \[ x = 10 \]
Thus, the solution is: \[ \boxed{10} \]