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C.

A doesn't work because x + x + x = 3x, not x^3.

B doesn't work because 14x + 10 - 2x has like terms, 14x and -2x can be combined, bit when you do so you get 14x - 2x, or 12x + 10. (So not 16x + 10)

D doesn't work because 12x^2 + 5x + 10 doesn't simplify; it can only be factored, and you cannot combine 12x^2 and 5x because their variables have different powers.

C, however, works fine. All they did is factor out a 3; if you distribute that 3 again, you get 12x + 16x back, so the two are equal.

Explanation: This question is most likely a guess and check question!

GUESS AND CHECK:

A) x+x+x and x³

Exponents are usually multiplication put the operation here is addition so it's not A.

B) 14x+10-2x and 16x+10

For 14x+10-2x, 14x and 2x can be combined so when they are it would be 12x. Then you add 10 which is 12x+10 which is not equivalent to 16x+10

C) 12x+16x and 4(3x+4x)

12x+16x is 28x. For 4(3x+4x) , you have to distribute which would become 12x+16x which is also 28x. Therefore, 12x+16x and 4(3x+4x) are equivalent.

C

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step-by-step explanation:

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