5(3x+9)+5(3x+9)+2(8x-4)+2(8x-4)

Answer 1

To simplify the expression \(5(3x+9) + 5(3x+9) + 2(8x-4) + 2(8x-4)\), we'll first combine like terms and then simplify each component.

1. Combine the terms: \[ 5(3x + 9) + 5(3x + 9) = 10(3x + 9) \] \[ 2(8x - 4) + 2(8x - 4) = 4(8x - 4) \]

So, now we have: \[ 10(3x + 9) + 4(8x - 4) \]

2. Now distribute: \[ 10(3x + 9) = 30x + 90 \] \[ 4(8x - 4) = 32x - 16 \]

3. Combine these results: \[ (30x + 90) + (32x - 16) \] \[ = 30x + 32x + 90 - 16 \] \[ = 62x + 74 \]

So, the simplified expression is: \[ \boxed{62x + 74} \]