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Simplifying 5cosx + -2sinx + 7 = 0 Reorder the terms: 7 + 5cosx + -2insx = 0 Solving 7 + 5cosx + -2insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5cosx + -7 + -2insx = 0 + -7 Reorder the terms: 7 + -7 + 5cosx + -2insx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5cosx + -2insx = 0 + -7 5cosx + -2insx = 0 + -7 Combine like terms: 0 + -7 = -7 5cosx + -2insx = -7 Add '2insx' to each side of the equation. 5cosx + -2insx + 2insx = -7 + 2insx Combine like terms: -2insx + 2insx = 0 5cosx + 0 = -7 + 2insx 5cosx = -7 + 2insx Divide each side by '5osx'. c = -1.4o-1s-1x-1 + 0.4ino-1 Simplifying c = -1.4o-1s-1x-1 + 0.4ino-1 Reorder the terms: c = 0.4ino-1 + -1.4o-1s-1x-1
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