tell whether these pairs of expressions are equivalent.

Question

-x+(-x)+(-x)+(-x) and -4x

Answer 1

The given pair of expressions is equivalent.

To see this, notice that both expressions simplify to -4x.

In the first expression, we have:
-x + (-x) + (-x) + (-x) = -4x

By combining like terms, we can rewrite the expression as:
-1x + (-1x) + (-1x) + (-1x) = -4x

We can further simplify by combining the coefficients of x:
-1x + -1x + -1x + -1x = -4x

This simplifies finally to:
-4x

Therefore, the pair of expressions -x+(-x)+(-x)+(-x) and -4x are equivalent.