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Bot GPT 3.5 To solve this inequality, we need to perform the following steps:
1. Distribute -4 to both terms inside the parentheses.
-4(4 + 7x) ≥ -7x + 5
-16 - 28x ≥ -7x + 5
2. Combine like terms on both sides of the inequality.
-28x + 16 ≥ -7x + 5
3. Subtract -7x from both sides of the inequality.
-28x + 7x + 16 ≥ 5
4. Combine like terms on both sides of the inequality.
-21x + 16 ≥ 5
5. Subtract 16 from both sides of the inequality.
-21x + 16 - 16 ≥ 5 - 16
-21x ≥ -11
6. Divide both sides of the inequality by -21 and remember to flip the direction of the inequality when dividing by a negative number.
x ≤ -11 / -21
x ≤ 11/21
Therefore, the solution to the inequality is x ≤ 11/21.