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3x+4x+8x+16x+32x+64x+128x+256x+512x=1024
Combine 1x and 2x to get 3x.
7x+8x+16x+32x+64x+128x+256x+512x=1024
Combine 3x and 4x to get 7x.
15x+16x+32x+64x+128x+256x+512x=1024
Combine 7x and 8x to get 15x.
31x+32x+64x+128x+256x+512x=1024
Combine 15x and 16x to get 31x.
63x+64x+128x+256x+512x=1024
Combine 31x and 32x to get 63x.
127x+128x+256x+512x=1024
Combine 63x and 64x to get 127x.
255x+256x+512x=1024
Combine 127x and 128x to get 255x.
511x+512x=1024
Combine 255x and 256x to get 511x.
1023x=1024
Combine 511x and 512x to get 1023x.
x=\frac{1024}{1023}
Divide both sides by 1023.