Simplify 5(7x−2)−14x+4

Question

5
(
7
𝑥
−
2
)
−
14
𝑥
+
4
.(1 point) ./.....

Answer 1

To simplify the expression \( 5(7x - 2) - 14x + 4 \), follow these steps:

1. Distribute the \( 5 \) across the terms in the parentheses: \[ 5(7x) - 5(2) = 35x - 10 \]

2. Substitute back into the expression: \[ 35x - 10 - 14x + 4 \]

3. Combine like terms:

   • For the \( x \) terms: \( 35x - 14x = 21x \)
   • For the constant terms: \( -10 + 4 = -6 \)

Putting it all together: \[ 21x - 6 \]

Thus, the simplified expression is: \[ \boxed{21x - 6} \]