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You don't use a 'property" to combine like terms, you use an "operation". To combine like terms, use the following operations:

Addition: 4x+3x=7x

Subtraction: 4x-3x=1x=x

Multiplication/Division:

4x = 2x + y

-2x + 4x = 2x + y -2x

2x = y

1/2 * 2x = y * 1/2

x = y/2

check: x,y=(10,20)

4*10 = 2*10+20

40 = 20+20

40 = 40 = true

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You are absolutely right! I stand corrected: But if the asker wants to know, it is the distributive property of like terms which makes combing them possible as illustrated in the examples, above. Thanks.

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You can use the distributive property to combine like terms.

For example, take 3x+5x. By using the distributive property, this is the same as x(3+5). Since 3+5=8, the sum of 3x and 5x is 8x.

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