Simplify −5(2x−6)+25x . Write your answer in factored form.
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To simplify the expression, we need to distribute the negative sign to the terms inside the parentheses and then combine like terms.
−5(2x−6) can be simplified as follows:
−5 * 2x = −10x
−5 * −6 = 30
So, −5(2x−6) simplifies to −10x + 30.
Now, we need to combine this result with the term 25x.
−10x + 30 + 25x can be simplified by combining the x terms:
−10x + 25x = 15x
So, the simplified expression −5(2x−6)+25x can be written in factored form as 15x + 30.