To solve the equation \(36x - 19 = 53\) for \(x\), we need to isolate \(x\).
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First, we will add 19 to both sides of the equation to eliminate the -19: \[ 36x - 19 + 19 = 53 + 19 \] which simplifies to: \[ 36x = 72 \]
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Next, we will divide both sides by 36 to solve for \(x\): \[ x = \frac{72}{36} \] which simplifies to: \[ x = 2 \]
So, Stacia bought 2 tickets.
The operations needed to solve this problem are addition and division.
Therefore, the correct response is: addition and division.