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A student is given the equation 6(x+2)=3(4+2x). Which statement is true?

6(x+2)simplifies to 6x+ 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has no solution.

6(x+2) simplifies to 6x + 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has one solution.

6(x+2) simplifies to 6x + 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.

6(x + 2)simplifies to 6x+ 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has no solution.

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Answer:

6 ( x + 2 ) simplifies to 6x + 12 and 3 ( 4 + 2x )simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.

Step-by-step explanation:

As both sides are equal, any value substituted will be the same.