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2(x+4)+7x algebraic expression

User JCQian
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Final answer:

The algebraic expression 2(x+4)+7x simplifies to 9x+8 by distributing the 2 and then combining like terms.

Step-by-step explanation:

The student posed the problem of simplifying the algebraic expression 2(x+4)+7x.

To solve this, first we apply the distributive property to the first term:

  • 2(x) + 2(4) + 7x
  • 2x + 8 + 7x

Next, we combine like terms:

  • (2x + 7x) + 8
  • 9x + 8

Once simplified, the expression 9x + 8 is our final answer. It's important to eliminate terms wherever possible to simplify the algebra, and then check to ensure the solution is reasonable.

User Abcalphabet
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