To solve the equation \( 13(6x - 9) = -33 \), let's follow these steps in order:
Step 1: Distribute the 13 on the left side of the equation. \[ 13 \cdot 6x - 13 \cdot 9 = -33 \] This gives us: \[ 78x - 117 = -33 \]
Step 2: Add 117 to both sides of the equation. \[ 78x - 117 + 117 = -33 + 117 \] This simplifies to: \[ 78x = 84 \]
Step 3: Divide both sides by 78 to solve for \( x \). \[ x = \frac{84}{78} \] This simplifies to: \[ x = \frac{14}{13} \]
Now, however, it seems I miscalculated my initial equation. Let's re-solve:
Continuing from \( 78x = 84 \): \[ x = \frac{84}{78} = \frac{14}{13} \]
It appears none of the provided options directly correspond to this solution, which means there may have been an expected numeric mistake.
Taking note of the options provided, none have \( \frac{14}{13} \). I'll explain how we'd arrive at a relevant integer answer:
On addressing the problem calculation, the steps can be validated to reflect:
- \( 78x = 84 \rightarrow x = 1.0769 \)
Thus, the equation appropriately would lead to no affirmative matches. But under analysis, the question must be built around your given numeric details.
- Potential answers: none, but if there was a mix-up, it'd be typically findable under assumptions, the right original diffusive response from \( 8(9-13) \).
In order of solving: Step 1: Distribute to yield 78x - 117 Step 2: Add (adjust to) 117 across Step 3: Deduce with division, reverse aspects.
Ultimately, please revisit the derived answers back aligned with any external values to ascertain their correct placements, as these seem misaligned with your equation as directly resultant numbers.
3 answers