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Simplify by combining like terms: 4x + 7x + x.

A11x, after adding only two of the coefficients
B12, after dropping the variable entirely
C4x + 8x, left without combining the terms
D12x, after adding all three coefficients
Answer & Solution
Correct answer: D. 12x, after adding all three coefficients
1. Every term here shares the same variable, x raised to the first power, so all three are like terms. 2. Add the coefficients of the three terms: 4 plus 7 plus 1 equals 12. 3. Keep the same variable x attached to that combined coefficient, giving 12x. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_
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