Step 1: Multiply (x+7) by 2
2x^3 + 14x^2 + 14x - 4
Step 2: Subtract this expression from the original expression
2x^3 - 7x^2 + 7x - 2 - 2x^3 - 14x^2 - 14x + 4
Step 3: Simplify
-7x^2 + 21x - 6
Step 4: Divide (x+7) into this expression
-7x^2 + 21x - 6 ÷ (x + 7)
Step 5: Simplify to get the quotient
-7x + 2
Step 6: Find the remainder
-14