Questions: Perform the indicated operation by removing the parentheses and combining like terms. [ (-x+1)-(3 x+8) ]

Solution Steps

To begin, we need to remove the parentheses from the expression:

\[ (-x + 1) - (3x + 8) \]

This can be rewritten as:

\[ -x + 1 - 3x - 8 \]

Next, we combine the like terms. The like terms in this expression are the terms involving \(x\) and the constant terms:

• Combine the \(x\) terms: \(-x - 3x = -4x\)
• Combine the constant terms: \(1 - 8 = -7\)

Thus, the expression simplifies to:

\[ -4x - 7 \]

Final Answer