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question. solve for x. -5(-2x - 5)+4x + 5 = 44 answer. attempt 1 out of…

Question

question. solve for x. -5(-2x - 5)+4x + 5 = 44 answer. attempt 1 out of 2

Explanation:

Step1: Expand the left - hand side

Use distributive property $a(b + c)=ab+ac$. So, $-5(-2x - 5)=(-5)\times(-2x)+(-5)\times(-5)=10x + 25$. The equation becomes $10x+25 + 4x+5 = 44$.

Step2: Combine like terms

Combine the $x$ - terms and the constant terms. $(10x+4x)+(25 + 5)=44$, which simplifies to $14x+30 = 44$.

Step3: Isolate the variable term

Subtract 30 from both sides of the equation: $14x+30-30=44 - 30$. So, $14x=14$.

Step4: Solve for x

Divide both sides by 14: $\frac{14x}{14}=\frac{14}{14}$. Thus, $x = 1$.

Answer:

$1$