-7(7x + 38) = -1050

To solve the equation, we need to first distribute the -7 to each term inside the parentheses:

-7 * 7x = -49x
-7 * 38 = -266

Now we can rewrite the equation:

-49x - 266 = -1050

Next, we need to isolate the variable x by moving the constant term to the opposite side of the equation:

-49x = -1050 + 266
-49x = -784

Finally, we can solve for x by dividing both sides of the equation by -49:

x = (-784) / (-49)
x = 16

Therefore, the solution to the equation -7(7x + 38) = -1050 is x = 16.

To solve the equation -7(7x + 38) = -1050, follow these steps:

Step 1: Distribute -7 to the terms inside the parentheses:
-49x - 266 = -1050.

Step 2: Move the constant term to the other side of the equation by adding 266 to both sides:
-49x = -1050 + 266.
-49x = -784.

Step 3: Divide both sides of the equation by -49 to isolate x:
-49x / -49 = -784 / -49.
x = 16.

Therefore, the solution to the equation is x = 16.