Final answer:
To solve the equation, distribute the numbers, combine like terms, and isolate x.
Step-by-step explanation:
To solve the equation 4(x - 12) = 2(3 + 3x), we need to distribute the 4 and 2 to simplify the equation.
Start by multiplying 4 with each term inside the parentheses: 4x - 48 = 6 + 6x.
Next, combine like terms by subtracting 4x from both sides of the equation: -48 = 6 + 2x.
Then, subtract 6 from both sides of the equation: -54 = 2x.
Finally, divide both sides of the equation by 2 to isolate x: x = -27.