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Simplifying 5cos(2x) + 4 = 3cos(2x) + 5 Remove parenthesis around (2x) 5cos * 2x + 4 = 3cos(2x) + 5 Reorder the terms for easier multiplication: 5 * 2cos * x + 4 = 3cos(2x) + 5 Multiply 5 * 2 10cos * x + 4 = 3cos(2x) + 5 Multiply cos * x 10cosx + 4 = 3cos(2x) + 5 Reorder the terms: 4 + 10cosx = 3cos(2x) + 5 Remove parenthesis around (2x) 4 + 10cosx = 3cos * 2x + 5 Reorder the terms for easier multiplication: 4 + 10cosx = 3 * 2cos * x + 5 Multiply 3 * 2 4 + 10cosx = 6cos * x + 5 Multiply cos * x 4 + 10cosx = 6cosx + 5 Reorder the terms: 4 + 10cosx = 5 + 6cosx Solving 4 + 10cosx = 5 + 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. 4 + 10cosx + -6cosx = 5 + 6cosx + -6cosx Combine like terms: 10cosx + -6cosx = 4cosx 4 + 4cosx = 5 + 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 4 + 4cosx = 5 + 0 4 + 4cosx = 5 Add '-4' to each side of the equation. 4 + -4 + 4cosx = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 4cosx = 5 + -4 4cosx = 5 + -4 Combine like terms: 5 + -4 = 1 4cosx = 1 Divide each side by '4osx'. c = 0.25o-1s-1x-1 Simplifying c = 0.25o-1s-1x-1
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