-5(2-2x)+6(9x+3)

Answer 1

To simplify the expression \(-5(2-2x)+6(9x+3)\), follow these steps:

1. Distribute \(-5\) into the first parentheses: \[ -5(2) + (-5)(-2x) = -10 + 10x \]

2. Distribute \(6\) into the second parentheses: \[ 6(9x) + 6(3) = 54x + 18 \]

3. Combine the results from the two distributions: \[ -10 + 10x + 54x + 18 \]

4. Combine like terms:

   • Combine the \(x\) terms: \(10x + 54x = 64x\)
   • Combine the constant terms: \(-10 + 18 = 8\)

So, the simplified expression is: \[ 64x + 8 \]