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Simplifying 12cos(x) + -4sin(x) = 7 Multiply cos * x 12cosx + -4sin(x) = 7 Multiply ins * x 12cosx + -4insx = 7 Solving 12cosx + -4insx = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4insx' to each side of the equation. 12cosx + -4insx + 4insx = 7 + 4insx Combine like terms: -4insx + 4insx = 0 12cosx + 0 = 7 + 4insx 12cosx = 7 + 4insx Divide each side by '12osx'. c = 0.5833333333o-1s-1x-1 + 0.3333333333ino-1 Simplifying c = 0.5833333333o-1s-1x-1 + 0.3333333333ino-1 Reorder the terms: c = 0.3333333333ino-1 + 0.5833333333o-1s-1x-1
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