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Simplifying 10sin(2x) + -7cos(2x) = 5 Remove parenthesis around (2x) 10ins * 2x + -7cos(2x) = 5 Reorder the terms for easier multiplication: 10 * 2ins * x + -7cos(2x) = 5 Multiply 10 * 2 20ins * x + -7cos(2x) = 5 Multiply ins * x 20insx + -7cos(2x) = 5 Remove parenthesis around (2x) 20insx + -7cos * 2x = 5 Reorder the terms for easier multiplication: 20insx + -7 * 2cos * x = 5 Multiply -7 * 2 20insx + -14cos * x = 5 Multiply cos * x 20insx + -14cosx = 5 Reorder the terms: -14cosx + 20insx = 5 Solving -14cosx + 20insx = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20insx' to each side of the equation. -14cosx + 20insx + -20insx = 5 + -20insx Combine like terms: 20insx + -20insx = 0 -14cosx + 0 = 5 + -20insx -14cosx = 5 + -20insx Divide each side by '-14osx'. c = -0.3571428571o-1s-1x-1 + 1.428571429ino-1 Simplifying c = -0.3571428571o-1s-1x-1 + 1.428571429ino-1 Reorder the terms: c = 1.428571429ino-1 + -0.3571428571o-1s-1x-1
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