To solve the equation \(36x - 19 = 53\) for the number of tickets \(x\) that Stacia bought, we need to identify the operations involved. Let's break down the equation step by step:
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Addition: To isolate the term containing \(x\), we first need to get rid of the \(-19\). We do this by adding \(19\) to both sides of the equation: \[ 36x - 19 + 19 = 53 + 19 \implies 36x = 72 \]
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Division: Now, we need to solve for \(x\), which requires us to divide by \(36\): \[ x = \frac{72}{36} \implies x = 2 \]
Thus, the operations needed to solve the problem are addition and division.
The correct response is:
- addition and division.