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2005 AMC 10AProblem 3P1-10~1 minPrint
Linear Equations & Word ProblemsSet up the equation/formula and compute; no special trick needed

The equations 2x+7=32x + 7 = 3 and bx−10=−2bx - 10 = -2 have the same solution xx . What is the value of bb ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2005 12A #2.