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Simplifying 10sin(x) + -1cos(x) = 8 Multiply ins * x 10insx + -1cos(x) = 8 Multiply cos * x 10insx + -1cosx = 8 Reorder the terms: -1cosx + 10insx = 8 Solving -1cosx + 10insx = 8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10insx' to each side of the equation. -1cosx + 10insx + -10insx = 8 + -10insx Combine like terms: 10insx + -10insx = 0 -1cosx + 0 = 8 + -10insx -1cosx = 8 + -10insx Divide each side by '-1osx'. c = -8o-1s-1x-1 + 10ino-1 Simplifying c = -8o-1s-1x-1 + 10ino-1 Reorder the terms: c = 10ino-1 + -8o-1s-1x-1
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