To find an equivalent expression for \( 3x + 2(-5x + 1) \), we will distribute \( 2 \) to both terms inside the parentheses.
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Distribute \( 2 \) to \(-5x\) and \(1\):
\[ 2 \cdot (-5x) + 2 \cdot 1 = -10x + 2 \]
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Combine the results with the \(3x\):
\[ 3x + (-10x + 2) = 3x - 10x + 2 \]
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Combine like terms:
\[ (3x - 10x) + 2 = -7x + 2 \]
Thus, the expression equivalent to \( 3x + 2(-5x + 1) \) is
\[ \boxed{-7x + 2} \]