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Which of the following is equal to 
(5x+9)+(3x-11)?
Choose 1 answer:
(A) 
2x-2
(B) 
2x+20
(c) 
8x-2
(D) 
8x+20

Which of the following is equal to (5x+9)+(3x11)? (5 x+9)+(3 x-11) ? \newlineChoose 11 answer:\newline(A) 2x2 2 x-2 \newline(B) 2x+20 2 x+20 \newline(C) 8x2 8 x-2 \newline(D) 8x+20 8 x+20

Full solution

Q. Which of the following is equal to (5x+9)+(3x11)? (5 x+9)+(3 x-11) ? \newlineChoose 11 answer:\newline(A) 2x2 2 x-2 \newline(B) 2x+20 2 x+20 \newline(C) 8x2 8 x-2 \newline(D) 8x+20 8 x+20
  1. Breakdown of Expressions: We have the expressions (5x+9)(5x+9) and (3x11)(3x-11). To add them, we add the coefficients of xx together and the constant terms together.(5x+9)+(3x11)=5x+3x+911(5x + 9) + (3x - 11) = 5x + 3x + 9 - 11
  2. Combine Coefficients and Constants: Now we combine the coefficients of xx: 5x+3x=8x5x + 3x = 8x. And we combine the constant terms: 911=29 - 11 = -2. So, (5x+9)+(3x11)=8x2(5x + 9) + (3x - 11) = 8x - 2.
  3. Check Answer Choices: We check the answer choices to see which one matches our result:\newline(A) 2x22x-2 (B) 2x+202x+20 (C) 8x28x-2 (D) 8x+208x+20\newlineThe correct answer is (C) 8x28x-2, which matches our result.

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