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Simplifying -5sin(x) + -4cos(x) = 2 Multiply ins * x -5insx + -4cos(x) = 2 Multiply cos * x -5insx + -4cosx = 2 Reorder the terms: -4cosx + -5insx = 2 Solving -4cosx + -5insx = 2 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. -4cosx + -5insx + 5insx = 2 + 5insx Combine like terms: -5insx + 5insx = 0 -4cosx + 0 = 2 + 5insx -4cosx = 2 + 5insx Divide each side by '-4osx'. c = -0.5o-1s-1x-1 + -1.25ino-1 Simplifying c = -0.5o-1s-1x-1 + -1.25ino-1 Reorder the terms: c = -1.25ino-1 + -0.5o-1s-1x-1
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