To simplify the expression \(19 + 6x + 5 \cdot 2\), follow the order of operations.
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First, calculate \(5 \cdot 2\): \[ 5 \cdot 2 = 10 \]
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Now substitute this back into the expression: \[ 19 + 6x + 10 \]
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Next, combine the constant terms \(19\) and \(10\): \[ 19 + 10 = 29 \]
Putting it all together, the simplified expression is: \[ 29 + 6x \]
Thus, the final answer is: \[ 29 + 6x \]