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3x+4x+8x+16x=1
Combine x and 2x to get 3x.
7x+8x+16x=1
Combine 3x and 4x to get 7x.
15x+16x=1
Combine 7x and 8x to get 15x.
31x=1
Combine 15x and 16x to get 31x.
x=\frac{1}{31}
Divide both sides by 31.