FINAL ANSWER:
D. x = -9
Step-by-step explanation:
To solve the equation -5(x - 3) - 2x = 46 - 4(x + 1), you can follow these steps:
1. First, distribute the constants and variables on both sides of the equation:
-5x + 15 - 2x = 46 - 4x - 4
2. Combine like terms on both sides of the equation:
-7x + 15 = 42 - 4x
3. Now, move the terms involving x to one side of the equation and the constants to the other side:
-7x + 4x = 42 - 15
4. Combine like terms on both sides:
-3x = 27
5. Finally, solve for x by dividing both sides by -3:
x = 27 / -3
x = -9
So, the solution to the equation is:
D) x = -9