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Simplifying 2cos(60 + -1x) + 2sen(30 + -1x) + cos2x + -3 = 0 (60 * 2cos + -1x * 2cos) + 2sen(30 + -1x) + cos2x + -3 = 0 (120cos + -2cosx) + 2sen(30 + -1x) + cos2x + -3 = 0 120cos + -2cosx + (30 * 2ens + -1x * 2ens) + cos2x + -3 = 0 120cos + -2cosx + (60ens + -2ensx) + cos2x + -3 = 0 Reorder the terms: -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 Solving -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 120cos + -2cosx + cos2x + 60ens + 3 + -2ensx = 0 + 3 Reorder the terms: -3 + 3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 + 3 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 + 3 Combine like terms: 0 + 3 = 3 120cos + -2cosx + cos2x + 60ens + -2ensx = 3 Add '-60ens' to each side of the equation. 120cos + -2cosx + cos2x + 60ens + -60ens + -2ensx = 3 + -60ens Combine like terms: 60ens + -60ens = 0 120cos + -2cosx + cos2x + 0 + -2ensx = 3 + -60ens 120cos + -2cosx + cos2x + -2ensx = 3 + -60ens Add '2ensx' to each side of the equation. 120cos + -2cosx + cos2x + -2ensx + 2ensx = 3 + -60ens + 2ensx Combine like terms: -2ensx + 2ensx = 0 120cos + -2cosx + cos2x + 0 = 3 + -60ens + 2ensx 120cos + -2cosx + cos2x = 3 + -60ens + 2ensx Reorder the terms: -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 3 + -60ens + 2ensx + -3 + 60ens + -2ensx Reorder the terms: -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 3 + -3 + -60ens + 60ens + 2ensx + -2ensx Combine like terms: 3 + -3 = 0 -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 + -60ens + 60ens + 2ensx + -2ensx -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = -60ens + 60ens + 2ensx + -2ensx Combine like terms: -60ens + 60ens = 0 -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 + 2ensx + -2ensx -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 2ensx + -2ensx Combine like terms: 2ensx + -2ensx = 0 -3 + 120cos + -2cosx + cos2x + 60ens + -2ensx = 0 The solution to this equation could not be determined.
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