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Simplifying 8 + 4cos(2x) = 12cosx Remove parenthesis around (2x) 8 + 4cos * 2x = 12cosx Reorder the terms for easier multiplication: 8 + 4 * 2cos * x = 12cosx Multiply 4 * 2 8 + 8cos * x = 12cosx Multiply cos * x 8 + 8cosx = 12cosx Solving 8 + 8cosx = 12cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12cosx' to each side of the equation. 8 + 8cosx + -12cosx = 12cosx + -12cosx Combine like terms: 8cosx + -12cosx = -4cosx 8 + -4cosx = 12cosx + -12cosx Combine like terms: 12cosx + -12cosx = 0 8 + -4cosx = 0 Add '-8' to each side of the equation. 8 + -8 + -4cosx = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4cosx = 0 + -8 -4cosx = 0 + -8 Combine like terms: 0 + -8 = -8 -4cosx = -8 Divide each side by '-4osx'. c = 2o-1s-1x-1 Simplifying c = 2o-1s-1x-1
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