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Simplify each of the following if x = 5 ...

Simplify each of the following if `x = 5` and `y = 2`.
`-12 + 8x - 9y `

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To simplify the expression \(-12 + 8x - 9y\) when \(x = 5\) and \(y = 2\), follow these steps: ### Step 1: Substitute the values of \(x\) and \(y\) We start with the expression: \[ -12 + 8x - 9y \] Now, we substitute \(x = 5\) and \(y = 2\): \[ -12 + 8(5) - 9(2) \] ### Step 2: Calculate the multiplication Next, we perform the multiplication: \[ -12 + 40 - 18 \] Here, \(8 \times 5 = 40\) and \(9 \times 2 = 18\). ### Step 3: Combine the terms Now, we combine the terms: \[ -12 + 40 - 18 \] First, we can add \(-12\) and \(40\): \[ 28 - 18 \] ### Step 4: Final calculation Finally, we subtract \(18\) from \(28\): \[ 28 - 18 = 10 \] ### Final Answer Thus, the simplified value of the expression when \(x = 5\) and \(y = 2\) is: \[ \boxed{10} \]
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