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Simplifying 5cos * 2x + -2sin * 2x = 2 Reorder the terms for easier multiplication: 5 * 2cos * x + -2sin * 2x = 2 Multiply 5 * 2 10cos * x + -2sin * 2x = 2 Multiply cos * x 10cosx + -2sin * 2x = 2 Reorder the terms for easier multiplication: 10cosx + -2 * 2ins * x = 2 Multiply -2 * 2 10cosx + -4ins * x = 2 Multiply ins * x 10cosx + -4insx = 2 Solving 10cosx + -4insx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4insx' to each side of the equation. 10cosx + -4insx + 4insx = 2 + 4insx Combine like terms: -4insx + 4insx = 0 10cosx + 0 = 2 + 4insx 10cosx = 2 + 4insx Divide each side by '10osx'. c = 0.2o-1s-1x-1 + 0.4ino-1 Simplifying c = 0.2o-1s-1x-1 + 0.4ino-1 Reorder the terms: c = 0.4ino-1 + 0.2o-1s-1x-1
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