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5+8x+5x+16-12x=0
Add 4 and 1 to get 5.
5+13x+16-12x=0
Combine 8x and 5x to get 13x.
21+13x-12x=0
Add 5 and 16 to get 21.
21+x=0
Combine 13x and -12x to get x.
x=-21
Subtract 21 from both sides. Anything subtracted from zero gives its negation.