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Simplifying 5cos * 2x + 1 = 3cos * 2x Reorder the terms for easier multiplication: 5 * 2cos * x + 1 = 3cos * 2x Multiply 5 * 2 10cos * x + 1 = 3cos * 2x Multiply cos * x 10cosx + 1 = 3cos * 2x Reorder the terms: 1 + 10cosx = 3cos * 2x Reorder the terms for easier multiplication: 1 + 10cosx = 3 * 2cos * x Multiply 3 * 2 1 + 10cosx = 6cos * x Multiply cos * x 1 + 10cosx = 6cosx Solving 1 + 10cosx = 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. 1 + 10cosx + -6cosx = 6cosx + -6cosx Combine like terms: 10cosx + -6cosx = 4cosx 1 + 4cosx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 1 + 4cosx = 0 Add '-1' to each side of the equation. 1 + -1 + 4cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cosx = 0 + -1 4cosx = 0 + -1 Combine like terms: 0 + -1 = -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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