To solve for \( x \) in the equation \( 13(6x - 9) = -33 \), follow these steps:
-
Distribute the 13: \[ 13 \cdot 6x - 13 \cdot 9 = -33 \] This simplifies to: \[ 78x - 117 = -33 \]
-
Add 117 to both sides: \[ 78x - 117 + 117 = -33 + 117 \] Which simplifies to: \[ 78x = 84 \]
-
Divide both sides by 78: \[ x = \frac{84}{78} \] Simplifying \(\frac{84}{78}\) gives: \[ x = \frac{42}{39} = \frac{14}{13} \]
Thus, the solution is: \[ x = \frac{14}{13} \]
It seems that none of the provided options (-30, -15, -22, -19) is correct. If you have any further questions or need clarification, let me know!