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Simplifying 5 = 12(2cosx + sinx) 5 = (2cosx * 12 + insx * 12) 5 = (24cosx + 12insx) Solving 5 = 24cosx + 12insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24cosx' to each side of the equation. 5 + -24cosx = 24cosx + -24cosx + 12insx Combine like terms: 24cosx + -24cosx = 0 5 + -24cosx = 0 + 12insx 5 + -24cosx = 12insx Add '-5' to each side of the equation. 5 + -5 + -24cosx = -5 + 12insx Combine like terms: 5 + -5 = 0 0 + -24cosx = -5 + 12insx -24cosx = -5 + 12insx Divide each side by '-24osx'. c = 0.2083333333o-1s-1x-1 + -0.5ino-1 Simplifying c = 0.2083333333o-1s-1x-1 + -0.5ino-1 Reorder the terms: c = -0.5ino-1 + 0.2083333333o-1s-1x-1
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