Question

a company has two manufacturing plants with daily production levels of (6x + 13) items and (6x - 7) items, respectively. the first plant produces how many more items daily than the second plant?

the first plant produces \\(\square\\) more items daily than the second plant
(simplify your answer.)

Explanation:

Step1: Set up subtraction expression

Subtract the second plant's production from the first: $(6x + 13) - (3x - 7)$

Step2: Distribute the negative sign

Remove parentheses: $6x + 13 - 3x + 7$

Step3: Combine like terms

Group and simplify $x$-terms and constants: $(6x - 3x) + (13 + 7) = 3x + 20$

Answer:

$3x + 20$