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solve the following equation. -3(x + 4) = -3x - 12 all real numbers no …

Question

solve the following equation. -3(x + 4) = -3x - 12 all real numbers no solution

Explanation:

Step1: Expand left - hand side

Using the distributive property $a(b + c)=ab+ac$, we have $-3(x + 4)=-3x-12$. So the equation becomes $-3x-12=-3x - 12$.

Step2: Analyze the equation

Subtract $-3x$ from both sides. $(-3x-12)-(-3x)=(-3x - 12)-(-3x)$. This simplifies to $-12=-12$, which is always true regardless of the value of $x$.

Answer:

All real numbers