Solve -450÷(50/-3)-(-3x-14): Complex Order of Operations

To solve the given expression, we'll simplify it step-by-step:

• Step 1: Simplify the fraction
  $\frac{50}{-3}$ simplifies to $-\frac{50}{3}$.
• Step 2: Perform the division
  The expression $-450:\frac{50}{-3}$ can be rewritten as $-450 \times -\frac{3}{50}$ since division by a fraction is equivalent to multiplication by its reciprocal.
• Calculate the multiplication
  $-450 \times -\frac{3}{50} = 450 \times \frac{3}{50} = 450 \times 0.06 = 27$.
• Step 3: Simplify the expression within parentheses
  The expression $(-3x) + (-14)$ simplifies to $-3x - 14$.
• Step 4: Combine all parts
  The complete expression $(-450:\frac{50}{-3}) - ((-3x) + (-14))$ simplifies to $27 - (-3x - 14)$.
• Simplify further
  This becomes $27 + 3x + 14 = 41 + 3x$.

Therefore, the solution to the problem is $41 + 3x$.