To solve the equation \(4x + 19 + 6x + 1 = 350\), follow these steps:
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Combine like terms on the left side: \[ (4x + 6x) + (19 + 1) = 350 \] \[ 10x + 20 = 350 \]
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Subtract 20 from both sides: \[ 10x = 350 - 20 \] \[ 10x = 330 \]
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Divide both sides by 10: \[ x = \frac{330}{10} \] \[ x = 33 \]
Thus, the solution is: \[ x = 33 \]