Answer:
C. x+x+x+1+1+1 and 3(x+1)
Explanation:
Algebraic Expressions
Some algebraic expressions are equivalent to others if the correct operations are done on them.
A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:
10(x+4) = 10x + 40.
This choice is not correct
B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:
3(x+5) = 3x + 15.
This choice is not correct
C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:
x+x+x+1+1+1=3x+3=3(x+1)
This choice is correct
D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus
D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)
This choice is not correct