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A 13 foot board is cut into two pieces. If one piece is x feet long express the other length in terms of x

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Since the foot board is 13 feet long, it can be said that the sum of the two pieces is 13. If one piece is x, the other piece can be expressed as the difference of 13, the total length of the foot board, and x, the length of the first piece. Hence, the other piece, in mathematical terms, is expressed as 13-x.
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