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Simplifying 4cos(2x) + 10sinx + -7 = 0 Remove parenthesis around (2x) 4cos * 2x + 10sinx + -7 = 0 Reorder the terms for easier multiplication: 4 * 2cos * x + 10sinx + -7 = 0 Multiply 4 * 2 8cos * x + 10sinx + -7 = 0 Multiply cos * x 8cosx + 10sinx + -7 = 0 Reorder the terms: -7 + 8cosx + 10insx = 0 Solving -7 + 8cosx + 10insx = 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 + 8cosx + 7 + 10insx = 0 + 7 Reorder the terms: -7 + 7 + 8cosx + 10insx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8cosx + 10insx = 0 + 7 8cosx + 10insx = 0 + 7 Combine like terms: 0 + 7 = 7 8cosx + 10insx = 7 Add '-10insx' to each side of the equation. 8cosx + 10insx + -10insx = 7 + -10insx Combine like terms: 10insx + -10insx = 0 8cosx + 0 = 7 + -10insx 8cosx = 7 + -10insx Divide each side by '8osx'. c = 0.875o-1s-1x-1 + -1.25ino-1 Simplifying c = 0.875o-1s-1x-1 + -1.25ino-1 Reorder the terms: c = -1.25ino-1 + 0.875o-1s-1x-1
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