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Simplifying 5cosx + 7 = 3cosx + 6 Reorder the terms: 7 + 5cosx = 3cosx + 6 Reorder the terms: 7 + 5cosx = 6 + 3cosx Solving 7 + 5cosx = 6 + 3cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cosx' to each side of the equation. 7 + 5cosx + -3cosx = 6 + 3cosx + -3cosx Combine like terms: 5cosx + -3cosx = 2cosx 7 + 2cosx = 6 + 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 7 + 2cosx = 6 + 0 7 + 2cosx = 6 Add '-7' to each side of the equation. 7 + -7 + 2cosx = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 2cosx = 6 + -7 2cosx = 6 + -7 Combine like terms: 6 + -7 = -1 2cosx = -1 Divide each side by '2osx'. c = -0.5o-1s-1x-1 Simplifying c = -0.5o-1s-1x-1
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