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Simplifying 7cosx + 12 = 6cosx + 13 Reorder the terms: 12 + 7cosx = 6cosx + 13 Reorder the terms: 12 + 7cosx = 13 + 6cosx Solving 12 + 7cosx = 13 + 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. 12 + 7cosx + -6cosx = 13 + 6cosx + -6cosx Combine like terms: 7cosx + -6cosx = 1cosx 12 + 1cosx = 13 + 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 12 + 1cosx = 13 + 0 12 + 1cosx = 13 Add '-12' to each side of the equation. 12 + -12 + 1cosx = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1cosx = 13 + -12 1cosx = 13 + -12 Combine like terms: 13 + -12 = 1 1cosx = 1 Divide each side by '1osx'. c = o-1s-1x-1 Simplifying c = o-1s-1x-1
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