To solve the equation \( 4(x - 5) + x = 10 \), follow these steps:
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Distribute the \( 4 \): \[ 4x - 20 + x = 10 \]
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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 \( 5 \): \[ x = 6 \]
So, the solution is \( x = 6 \).