Answer:
4x
Explanation:
You want to "solve" 3x +x.
Coefficient
Start by understanding the meaning of 3x. The coefficient of 3 tells you how many instances of x you have. The term 3x is a representation of repeated addition:
3x = x + x + x . . . . . . . . x is included in the sum 3 times
The sum 3x + x can be written out as ...
3x + x = (x + x + x) + x
This is fully equivalent to ...
3x + x = x + x + x + x
We recognize the sum on the right includes 4 instances of x, so can be written using a coefficient as ...
x + x + x + x = 4x
This means ...
3x + x = 4x
Distributive property
If we use the distributive property, we can also get there this way:
3x + x = 3x + 1x = (3 +1)x = 4x
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