SOLUTION: simplify the expression someone please help 1/2(4x+10)-3x+22+2x(x+1)

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Question 882927: simplify the expression someone please help
1/2(4x+10)-3x+22+2x(x+1)

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
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First of all, whenever you have something of the form a(b+c), you can multiply the number outside the parentheses with those inside (Distributive Property); in other words, a(b + c) = ab + ac. Therefore, in this problem,
%281%2F2%29%284x+%2B+10%29+-+3x+%2B+22+%2B+2x%28x+%2B+1%29
2x+%2B+5+-+3x+%2B+22+%2B+2x%5E2+%2B+2x
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Now, we can simply add up like terms:
2x+%2B+5+-+3x+%2B+22+%2B+2x%5E2+%2B+2x
2x%5E2+%2B+2x+-+3x+%2B+2x+%2B+5+%2B+22
2x%5E2+%2B+x+%2B27
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Thus, the simplified version of the expression is 2x%5E2+%2B+x+%2B+27. Let me know if you need additional clarification. =)