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Simplifying 12 + 6cos(2x) = 18cosx Remove parenthesis around (2x) 12 + 6cos * 2x = 18cosx Reorder the terms for easier multiplication: 12 + 6 * 2cos * x = 18cosx Multiply 6 * 2 12 + 12cos * x = 18cosx Multiply cos * x 12 + 12cosx = 18cosx Solving 12 + 12cosx = 18cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18cosx' to each side of the equation. 12 + 12cosx + -18cosx = 18cosx + -18cosx Combine like terms: 12cosx + -18cosx = -6cosx 12 + -6cosx = 18cosx + -18cosx Combine like terms: 18cosx + -18cosx = 0 12 + -6cosx = 0 Add '-12' to each side of the equation. 12 + -12 + -6cosx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6cosx = 0 + -12 -6cosx = 0 + -12 Combine like terms: 0 + -12 = -12 -6cosx = -12 Divide each side by '-6osx'. c = 2o-1s-1x-1 Simplifying c = 2o-1s-1x-1
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