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Simplifying 5cos(2x) + -3sin(2x) = 4 Remove parenthesis around (2x) 5cos * 2x + -3sin(2x) = 4 Reorder the terms for easier multiplication: 5 * 2cos * x + -3sin(2x) = 4 Multiply 5 * 2 10cos * x + -3sin(2x) = 4 Multiply cos * x 10cosx + -3sin(2x) = 4 Remove parenthesis around (2x) 10cosx + -3ins * 2x = 4 Reorder the terms for easier multiplication: 10cosx + -3 * 2ins * x = 4 Multiply -3 * 2 10cosx + -6ins * x = 4 Multiply ins * x 10cosx + -6insx = 4 Solving 10cosx + -6insx = 4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6insx' to each side of the equation. 10cosx + -6insx + 6insx = 4 + 6insx Combine like terms: -6insx + 6insx = 0 10cosx + 0 = 4 + 6insx 10cosx = 4 + 6insx Divide each side by '10osx'. c = 0.4o-1s-1x-1 + 0.6ino-1 Simplifying c = 0.4o-1s-1x-1 + 0.6ino-1 Reorder the terms: c = 0.6ino-1 + 0.4o-1s-1x-1
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