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Simplifying 7sin(x) + 24cos(x) = 20 Multiply ins * x 7insx + 24cos(x) = 20 Multiply cos * x 7insx + 24cosx = 20 Reorder the terms: 24cosx + 7insx = 20 Solving 24cosx + 7insx = 20 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7insx' to each side of the equation. 24cosx + 7insx + -7insx = 20 + -7insx Combine like terms: 7insx + -7insx = 0 24cosx + 0 = 20 + -7insx 24cosx = 20 + -7insx Divide each side by '24osx'. c = 0.8333333333o-1s-1x-1 + -0.2916666667ino-1 Simplifying c = 0.8333333333o-1s-1x-1 + -0.2916666667ino-1 Reorder the terms: c = -0.2916666667ino-1 + 0.8333333333o-1s-1x-1
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