Let's solve the equation step by step.
50(4x + 12) = -200
First, distribute 50 to both terms inside the parentheses:
200x + 600 = -200
Next, subtract 600 from both sides to isolate the term with variable x:
200x = -200 - 600
200x = -800
Now divide both sides of the equation by 200 to solve for x:
x = -800/200
x = -4
Therefore, the solution to the equation is x = -4.
50 ( 4x + 12) = -200
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