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Simplifying 2sinx + -3cosx = 2.5 Reorder the terms: -3cosx + 2insx = 2.5 Solving -3cosx + 2insx = 2.5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2insx' to each side of the equation. -3cosx + 2insx + -2insx = 2.5 + -2insx Combine like terms: 2insx + -2insx = 0 -3cosx + 0 = 2.5 + -2insx -3cosx = 2.5 + -2insx Divide each side by '-3osx'. c = -0.8333333333o-1s-1x-1 + 0.6666666667ino-1 Simplifying c = -0.8333333333o-1s-1x-1 + 0.6666666667ino-1 Reorder the terms: c = 0.6666666667ino-1 + -0.8333333333o-1s-1x-1
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