To solve the inequality \( 35 > -5 + 5x \), we can first isolate \( x \) as follows:
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Add 5 to both sides: \[ 35 + 5 > 5x \] \[ 40 > 5x \]
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Divide both sides by 5: \[ \frac{40}{5} > x \] \[ 8 > x \]
So, the solution can be expressed as: \[ x < 8 \]
This means that any value of \( x \) that is less than 8 will satisfy the inequality.