Use the distributive property to remove the parentheses.4x5−10x22Simplify your answer as much as possible.

1. Break Down the Problem

We need to apply the distributive property to the expression $4(x - 10) + 2(2x)$. This involves removing the parentheses by distributing the coefficients.

2. Relevant Concepts

The distributive property states: $a(b + c) = ab + ac$ We will apply this to the terms in the expression.

3. Analysis and Detail

1. Distribute $4$ over $(x - 10)$: $4(x - 10) = 4x - 40$

2. Distribute $2$ over $2x$: $2(2x) = 4x$

3. Combine these results: $4x - 40 + 4x$

4. Combine like terms: $(4x + 4x) - 40 = 8x - 40$

4. Verify and Summarize

The expression $4(x - 10) + 2(2x)$ simplifies to $8x - 40$ after applying the distributive property and combining like terms.

Final Answer

The simplified expression is $8x - 40$.