Expand and simplify the following expression:6(𝑥+7)−3(4𝑥−2)

Sure, here are the steps to expand and simplify the expression:

Step 1: Distribute the 6 and -3 across the terms in the parentheses:

6x + 67 - 34x + 32

Step 2: Simplify the multiplication:

6x + 42 - 12x + 6

Step 3: Combine like terms:

(6x - 12x) + (42 + 6)

Step 4: Simplify the expression:

-6x + 48

So, the simplified form of the expression 6(𝑥+7)−3(4𝑥−2) is -6x + 48.