To solve the equation \(3x + 8 - 10x + 2 = -4\), we can start by combining like terms on the left side.
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Combine the \(x\) terms: \[ 3x - 10x = -7x \]
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Combine the constant terms: \[ 8 + 2 = 10 \]
Now the equation becomes: \[ -7x + 10 = -4 \]
Next, we want to isolate \(x\). Start by subtracting 10 from both sides: \[ -7x + 10 - 10 = -4 - 10 \] \[ -7x = -14 \]
Now divide both sides by -7: \[ x = \frac{-14}{-7} = 2 \]
The solution is: \[ \boxed{2} \]