To solve the equation \(4(x - 5) + x = 10\), follow these steps:
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Distribute the 4 in the first term: \[ 4x - 20 + x = 10 \]
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Combine like terms: \[ 5x - 20 = 10 \]
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Add 20 to both sides: \[ 5x = 30 \]
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Divide by 5: \[ x = 6 \]
Thus, the solution is \(x = 6\).