Simplify 4x + 8x using the properties of operations.(1 point) Responses 12x 12 x 4 + 8x 4 plus 8 x 12x2 12 x squared 4x + 8 4 x plus 8

1 answer

To simplify the expression \(4x + 8x\), you can use the distributive property of multiplication over addition, which allows you to combine like terms. Both terms \(4x\) and \(8x\) have the same variable (\(x\)) raised to the same power (1), so they are like terms.

Combine the coefficients (numerical parts) of the like terms:

\(4 + 8 = 12\)

Since both terms are just multiples of \(x\), you can just add the coefficients together and keep the variable part unchanged:

\(4x + 8x = (4 + 8)x = 12x\)

So the simplified expression is:

\(12x\)
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