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Simplifying cos(5x) + cos(7x) = cos(x) Remove parenthesis around (5x) cos * 5x + cos(7x) = cos(x) Reorder the terms for easier multiplication: 5cos * x + cos(7x) = cos(x) Multiply cos * x 5cosx + cos(7x) = cos(x) Remove parenthesis around (7x) 5cosx + cos * 7x = cos(x) Reorder the terms for easier multiplication: 5cosx + 7cos * x = cos(x) Multiply cos * x 5cosx + 7cosx = cos(x) Combine like terms: 5cosx + 7cosx = 12cosx 12cosx = cos(x) Multiply cos * x 12cosx = cosx Solving 12cosx = cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cosx' to each side of the equation. 12cosx + -1cosx = cosx + -1cosx Combine like terms: 12cosx + -1cosx = 11cosx 11cosx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 11cosx = 0 Divide each side by '11'. cosx = 0 Simplifying cosx = 0 The solution to this equation could not be determined.
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