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Simplifying sin(5x) + -2cosx + -8x + -1x5 + 2 = 0 Remove parenthesis around (5x) ins * 5x + -2cosx + -8x + -1x5 + 2 = 0 Reorder the terms for easier multiplication: 5ins * x + -2cosx + -8x + -1x5 + 2 = 0 Multiply ins * x 5insx + -2cosx + -8x + -1x5 + 2 = 0 Reorder the terms: 2 + -2cosx + 5insx + -8x + -1x5 = 0 Solving 2 + -2cosx + 5insx + -8x + -1x5 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2cosx + 5insx + -8x + -2 + -1x5 = 0 + -2 Reorder the terms: 2 + -2 + -2cosx + 5insx + -8x + -1x5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2cosx + 5insx + -8x + -1x5 = 0 + -2 -2cosx + 5insx + -8x + -1x5 = 0 + -2 Combine like terms: 0 + -2 = -2 -2cosx + 5insx + -8x + -1x5 = -2 Add '-5insx' to each side of the equation. -2cosx + 5insx + -8x + -5insx + -1x5 = -2 + -5insx Reorder the terms: -2cosx + 5insx + -5insx + -8x + -1x5 = -2 + -5insx Combine like terms: 5insx + -5insx = 0 -2cosx + 0 + -8x + -1x5 = -2 + -5insx -2cosx + -8x + -1x5 = -2 + -5insx Add '8x' to each side of the equation. -2cosx + -8x + 8x + -1x5 = -2 + -5insx + 8x Combine like terms: -8x + 8x = 0 -2cosx + 0 + -1x5 = -2 + -5insx + 8x -2cosx + -1x5 = -2 + -5insx + 8x Add 'x5' to each side of the equation. -2cosx + -1x5 + x5 = -2 + -5insx + 8x + x5 Combine like terms: -1x5 + x5 = 0 -2cosx + 0 = -2 + -5insx + 8x + x5 -2cosx = -2 + -5insx + 8x + x5 Divide each side by '-2osx'. c = o-1s-1x-1 + 2.5ino-1 + -4o-1s-1 + -0.5o-1s-1x4 Simplifying c = o-1s-1x-1 + 2.5ino-1 + -4o-1s-1 + -0.5o-1s-1x4 Reorder the terms: c = 2.5ino-1 + -4o-1s-1 + o-1s-1x-1 + -0.5o-1s-1x4
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