Hey there!
SOLVING for 3x + 12 + x
3x + 12 + x
= 3x + 12 + 1x
COMBINE the LIKE TERMS
= (3x + 1x) + (12)
= 3x + 1x + 12
= 4x + 12
SOLVING for 4(3 + x)
4(3 + x)
DISTRIBUTE 4 WITHIN PARENTHESES
= 4(3) + 4(x)
= 12 + 4x
= 4x + 12
Thus, this statement is: TRUE
THEY ARE BOTH EQUIVALENT TO EACH OTHER
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)