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Select all expressions that are equivalent to 0.75x + 0.25(x + 12.4) + (x – 2.1)

A. 2x + 1

B. x + 1


C. x + 3.1 + x + 2.1


D. x + 3.1 + x – 2.1

Respuesta :

Answer:

a, b, d

Step-by-step explanation:

Answer:

Answer: Both    A.)  2x + 1   and  D.) x + 3.1 + x – 2.1

Step-by-step explanation:

0.75x + 0.25(x + 12.4) + (x – 2.1)  

distribute 0.25 in the middle term 0.25 × 12.4 = 3.1

and "multiply by +1" the second parentheses to remove them

0.75x + 0.25x + 3.1 + x – 2.1  

add the decimal coefficients  0.75x + 0.25x = 1.00x (means 1x) so:  = x

x + 3.1 + x - 2.1    This is choice D  an equivalent expression

simplify by combining like terms to get

2x + 1   This is choice A

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