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Bot GPT 3.5 To solve the inequality, we will need to simplify the expression on the left side and move all terms involving x to one side of the inequality.
First, simplify the expression on the left side by multiplying -4 with each term inside the parentheses:
-4(4 + 7x) = -16 - 28x
The inequality now becomes:
-16 - 28x ≥ -7x + 5
Next, let's move all terms involving x to the left side of the inequality:
-16 - 28x + 28x ≥ -7x + 28x + 5
-16 ≥ 21x + 5
Now, let's move all constant terms to the right side of the inequality:
-16 - 5 ≥ 21x + 5 - 5
-21 ≥ 21x
Finally, divide both sides of the inequality by 21:
-21/21 ≥ 21x/21
-1 ≥ x
Therefore, the solution to the inequality -4(4 + 7x) ≥ -7x + 5 is x ≤ -1.