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Simplifying 6cosx + 5 = -5cosx + 14 Reorder the terms: 5 + 6cosx = -5cosx + 14 Reorder the terms: 5 + 6cosx = 14 + -5cosx Solving 5 + 6cosx = 14 + -5cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5cosx' to each side of the equation. 5 + 6cosx + 5cosx = 14 + -5cosx + 5cosx Combine like terms: 6cosx + 5cosx = 11cosx 5 + 11cosx = 14 + -5cosx + 5cosx Combine like terms: -5cosx + 5cosx = 0 5 + 11cosx = 14 + 0 5 + 11cosx = 14 Add '-5' to each side of the equation. 5 + -5 + 11cosx = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 11cosx = 14 + -5 11cosx = 14 + -5 Combine like terms: 14 + -5 = 9 11cosx = 9 Divide each side by '11osx'. c = 0.8181818182o-1s-1x-1 Simplifying c = 0.8181818182o-1s-1x-1
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