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Simplifying 7cosx + 5sinx = 2k + 1 Reorder the terms: 7cosx + 5insx = 1 + 2k Solving 7cosx + 5insx = 1 + 2k Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. 7cosx + 5insx + -5insx = 1 + -5insx + 2k Combine like terms: 5insx + -5insx = 0 7cosx + 0 = 1 + -5insx + 2k 7cosx = 1 + -5insx + 2k Divide each side by '7osx'. c = 0.1428571429o-1s-1x-1 + -0.7142857143ino-1 + 0.2857142857ko-1s-1x-1 Simplifying c = 0.1428571429o-1s-1x-1 + -0.7142857143ino-1 + 0.2857142857ko-1s-1x-1 Reorder the terms: c = -0.7142857143ino-1 + 0.2857142857ko-1s-1x-1 + 0.1428571429o-1s-1x-1
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