To solve the equation \( 13(6x - 9) = -33 \), the correct order of steps would typically be as follows:
Step 1: Distribute the 13 on the left side of the equation.
\[ 13 \times 6x - 13 \times 9 = -33 \]
This becomes:
\[ 78x - 117 = -33 \]
Step 2: Add 117 to both sides of the equation to isolate the term with x.
\[ 78x - 117 + 117 = -33 + 117 \]
This simplifies to:
\[ 78x = 84 \]
Step 3: Divide both sides by 78 to solve for x.
\[ x = \frac{84}{78} \]
This can be simplified to:
\[ x = \frac{14}{13} \]
So, the final order of the steps is:
- Step 1: Distribute
- Step 2: Add 117
- Step 3: Divide by 78