Question

Symplify the expression 3(2x−7)+ 1 3 (7x+2)

Answer 1

To simplify the expression 3(2x-7)+ 1.5(7x+2), we expand each term, combine like terms, and get a simplified expression of 16.5x - 18. We should also check the answer for reasonableness.

Step-by-step explanation:

To simplify the algebraic expression 3(2x−7)+ 1½ (7x+2), we first expand each term in the parentheses and then combine like terms. Starting with the first expression:

• 3(2x) = 6x
• 3(−7) = −21

Now we address the second expression:

• 1½ means 1.5 in decimal form, so:
• 1.5(7x) = 10.5x
• 1.5(2) = 3

Combining like terms:

• 6x + 10.5x = 16.5x
• −21 + 3 = −18

So, the simplified expression is 16.5x − 18.

After simplifying, we should also check if the answer is reasonable by ensuring that all like terms are combined and no arithmetic errors have been made.