4(x+7)+3(5x+7)-2

Answer 1

Let's simplify the expression \( 4(x+7) + 3(5x+7) - 2 \) step by step.

1. Distribute the constants into the expressions: \[ 4(x + 7) = 4x + 28 \] \[ 3(5x + 7) = 15x + 21 \]

2. Combine these results into the original expression: \[ 4x + 28 + 15x + 21 - 2 \]

3. Combine like terms:

   • Combine the \( x \) terms: \[ 4x + 15x = 19x \]
   • Combine the constant terms: \[ 28 + 21 - 2 = 47 \]

4. Putting it all together, we get: \[ 19x + 47 \]

So, the simplified expression is: \[ \boxed{19x + 47} \]