Question 882927
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,
{{{(1/2)(4x + 10) - 3x + 22 + 2x(x + 1)}}}
{{{2x + 5 - 3x + 22 + 2x^2 + 2x}}}
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Now, we can simply add up like terms:
{{{2x + 5 - 3x + 22 + 2x^2 + 2x}}}
{{{2x^2 + 2x - 3x + 2x + 5 + 22}}}
{{{2x^2 + x +27}}}
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Thus, the simplified version of the expression is {{{2x^2 + x + 27}}}. Let me know if you need additional clarification. =)