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1x+1=-14-4x

We move all terms to the left:

1x+1-(-14-4x)=0

We add all the numbers together, and all the variables

1x-(-4x-14)+1=0

We add all the numbers together, and all the variables

x-(-4x-14)+1=0

We get rid of parentheses

x+4x+14+1=0

We add all the numbers together, and all the variables

5x+15=0

We move all terms containing x to the left, all other terms to the right

5x=-15

x=-15/5

x=-3

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