Solve the following equation. Then place the correct number in the box provided.2(x + 1 ) - 3(x + 5) ≥ 0

Question

$2(x + 1) - 3(x + 5) \geq 0$

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To solve the equation 2(x + 1) - 3(x + 5) ≥ 0, we will follow these steps:

Step 1: Distribute the coefficients: 2x + 2 - 3x - 15 ≥ 0

Step 2: Combine like terms: -x - 13 ≥ 0

Step 3: Multiply both sides by -1 (since we want to isolate x): x + 13 ≤ 0

Step 4: Subtract 13 from both sides: x ≤ -13

Therefore, the correct number to place in the box is -13.

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