-12(x - 12)= -9 (1+7x)

To solve the equation \(-12(x - 12) = -9(1 + 7x)\), we can start by distributing both sides.

1. Distribute \(-12\) on the left side: \[ -12x + 144 \]

2. Distribute \(-9\) on the right side: \[ -9 - 63x \]

Now, we can rewrite the equation: \[ -12x + 144 = -9 - 63x \]

Next, we can add \(63x\) to both sides to get all the \(x\) terms on one side: \[ -12x + 63x + 144 = -9 \]

This simplifies to: \[ 51x + 144 = -9 \]

Now, subtract \(144\) from both sides: \[ 51x = -9 - 144 \] \[ 51x = -153 \]

Finally, divide both sides by \(51\) to solve for \(x\): \[ x = \frac{-153}{51} \] \[ x = -3 \]

Thus, the solution is: \[ \boxed{-3} \]