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Simplifying 2cosx + -5x = 3cosx + -2 Reorder the terms: 2cosx + -5x = -2 + 3cosx Solving 2cosx + -5x = -2 + 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. 2cosx + -3cosx + -5x = -2 + 3cosx + -3cosx Combine like terms: 2cosx + -3cosx = -1cosx -1cosx + -5x = -2 + 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -1cosx + -5x = -2 + 0 -1cosx + -5x = -2 Add '5x' to each side of the equation. -1cosx + -5x + 5x = -2 + 5x Combine like terms: -5x + 5x = 0 -1cosx + 0 = -2 + 5x -1cosx = -2 + 5x Divide each side by '-1osx'. c = 2o-1s-1x-1 + -5o-1s-1 Simplifying c = 2o-1s-1x-1 + -5o-1s-1 Reorder the terms: c = -5o-1s-1 + 2o-1s-1x-1
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