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Eight times a number plus thirty-five is at most fifteen less than three times the number.

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8 x + 35 ≤ 3 x

Subtract 3 x to both sides

5 x + 35 ≤ 0

Subtract 35 to both sides

5 x ≤ - 35

Divide both sides by 5

x ≤ - 7

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