Distribute and simplify 4(x - 2) + 3.

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Multiple Choice

Distribute and simplify 4(x - 2) + 3.

Explanation:
Distributing across parentheses and combining like terms. Multiply 4 by each term inside the parentheses: 4(x) and 4(-2), giving 4x and -8. Then bring down the +3 and combine the constants: -8 + 3 = -5. So the expression simplifies to 4x - 5. This result keeps the x-term and a single constant, accurately reflecting the distribution and addition. If the signs were mishandled, you’d end up with forms like 4x - 11, 8 - 4x, or 4x + 5, which don’t match the correct distribution and combination shown here.

Distributing across parentheses and combining like terms. Multiply 4 by each term inside the parentheses: 4(x) and 4(-2), giving 4x and -8. Then bring down the +3 and combine the constants: -8 + 3 = -5. So the expression simplifies to 4x - 5. This result keeps the x-term and a single constant, accurately reflecting the distribution and addition. If the signs were mishandled, you’d end up with forms like 4x - 11, 8 - 4x, or 4x + 5, which don’t match the correct distribution and combination shown here.

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