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Simplifying cos(x + 10) = cos(x + -20) Reorder the terms: cos(10 + x) = cos(x + -20) (10 * cos + x * cos) = cos(x + -20) (10cos + cosx) = cos(x + -20) Reorder the terms: 10cos + cosx = cos(-20 + x) 10cos + cosx = (-20 * cos + x * cos) 10cos + cosx = (-20cos + cosx) Add '-1cosx' to each side of the equation. 10cos + cosx + -1cosx = -20cos + cosx + -1cosx Combine like terms: cosx + -1cosx = 0 10cos + 0 = -20cos + cosx + -1cosx 10cos = -20cos + cosx + -1cosx Combine like terms: cosx + -1cosx = 0 10cos = -20cos + 0 10cos = -20cos Solving 10cos = -20cos Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20cos' to each side of the equation. 10cos + 20cos = -20cos + 20cos Combine like terms: 10cos + 20cos = 30cos 30cos = -20cos + 20cos Combine like terms: -20cos + 20cos = 0 30cos = 0 Divide each side by '30'. cos = 0.0 Simplifying cos = 0.0 The solution to this equation could not be determined.
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