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Simplifying 5sex(pi + -1x) + 4 + -2cos2x = 0 (ip * 5esx + -1x * 5esx) + 4 + -2cos2x = 0 (5eipsx + -5esx2) + 4 + -2cos2x = 0 Reorder the terms: 4 + -2cos2x + 5eipsx + -5esx2 = 0 Solving 4 + -2cos2x + 5eipsx + -5esx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2cos2x + 5eipsx + -4 + -5esx2 = 0 + -4 Reorder the terms: 4 + -4 + -2cos2x + 5eipsx + -5esx2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2cos2x + 5eipsx + -5esx2 = 0 + -4 -2cos2x + 5eipsx + -5esx2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2cos2x + 5eipsx + -5esx2 = -4 Add '-5eipsx' to each side of the equation. -2cos2x + 5eipsx + -5eipsx + -5esx2 = -4 + -5eipsx Combine like terms: 5eipsx + -5eipsx = 0 -2cos2x + 0 + -5esx2 = -4 + -5eipsx -2cos2x + -5esx2 = -4 + -5eipsx Add '5esx2' to each side of the equation. -2cos2x + -5esx2 + 5esx2 = -4 + -5eipsx + 5esx2 Combine like terms: -5esx2 + 5esx2 = 0 -2cos2x + 0 = -4 + -5eipsx + 5esx2 -2cos2x = -4 + -5eipsx + 5esx2 Divide each side by '-2os2x'. c = 2o-1s-2x-1 + 2.5eio-1ps-1 + -2.5eo-1s-1x Simplifying c = 2o-1s-2x-1 + 2.5eio-1ps-1 + -2.5eo-1s-1x Reorder the terms: c = 2.5eio-1ps-1 + -2.5eo-1s-1x + 2o-1s-2x-1
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