To solve the equation \(-2x - 1 = -7x + 44\), we will start by moving all terms involving \(x\) to one side and the constant terms to the other side.
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Add \(7x\) to both sides: \[ -2x + 7x - 1 = 44 \] This simplifies to: \[ 5x - 1 = 44 \]
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Next, add 1 to both sides: \[ 5x - 1 + 1 = 44 + 1 \] This simplifies to: \[ 5x = 45 \]
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Now, divide both sides by 5: \[ x = \frac{45}{5} \] This simplifies to: \[ x = 9 \]
So, the solution to the equation \(-2x - 1 = -7x + 44\) is \(x = 9\).