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Simplifying qx + rx + 2 = s Reorder the terms: 2 + qx + rx = s Solving 2 + qx + rx = s Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + qx + -2 + rx = -2 + s Reorder the terms: 2 + -2 + qx + rx = -2 + s Combine like terms: 2 + -2 = 0 0 + qx + rx = -2 + s qx + rx = -2 + s Add '-1rx' to each side of the equation. qx + rx + -1rx = -2 + -1rx + s Combine like terms: rx + -1rx = 0 qx + 0 = -2 + -1rx + s qx = -2 + -1rx + s Divide each side by 'x'. q = -2x-1 + -1r + sx-1 Simplifying q = -2x-1 + -1r + sx-1 Reorder the terms: q = -1r + sx-1 + -2x-1
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