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Simplifying 7cosx + 3 = 5cosx + 4 Reorder the terms: 3 + 7cosx = 5cosx + 4 Reorder the terms: 3 + 7cosx = 4 + 5cosx Solving 3 + 7cosx = 4 + 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. 3 + 7cosx + -5cosx = 4 + 5cosx + -5cosx Combine like terms: 7cosx + -5cosx = 2cosx 3 + 2cosx = 4 + 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 3 + 2cosx = 4 + 0 3 + 2cosx = 4 Add '-3' to each side of the equation. 3 + -3 + 2cosx = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 2cosx = 4 + -3 2cosx = 4 + -3 Combine like terms: 4 + -3 = 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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