16. different members of the same family placed the following orders. simplify the orders by combining like…

16. different members of the same family placed the following orders. simplify the orders by combining like items. (3h + 2f + x)+(c + f + m)-(h + m + f)= (5h + 3f + 2m)-(h + f + m)+(c + 2x)=

16. different members of the same family placed the following orders. simplify the orders by combining like items. (3h + 2f + x)+(c + f + m)-(h + m + f)= (5h + 3f + 2m)-(h + f + m)+(c + 2x)=

Answer

Explanation:

Step1: Remove parentheses

$(3h + 2f+x)+(c + f + m)-(h + m + f)=3h + 2f+x + c + f + m - h - m - f$

Step2: Combine like - terms for $h$

$3h - h=2h$

Step3: Combine like - terms for $f$

$2f + f - f = 2f$

Step4: Combine like - terms for $m$

$m - m=0$

Step5: Write the simplified expression

$2h + 2f+x + c$

Step6: For the second expression, remove parentheses

$(5h + 3f + 2m)-(h + f + m)+(c + 2x)=5h + 3f + 2m - h - f - m + c + 2x$

Step7: Combine like - terms for $h$

$5h - h = 4h$

Step8: Combine like - terms for $f$

$3f - f=2f$

Step9: Combine like - terms for $m$

$2m - m=m$

Step10: Write the simplified expression

$4h + 2f+m + c + 2x$

Answer:

The first simplified expression is $2h + 2f+x + c$. The second simplified expression is $4h + 2f+m + c + 2x$.