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Simplifying 7(1 + 2cosx) = 6cosx + 1 (1 * 7 + 2cosx * 7) = 6cosx + 1 (7 + 14cosx) = 6cosx + 1 Reorder the terms: 7 + 14cosx = 1 + 6cosx Solving 7 + 14cosx = 1 + 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. 7 + 14cosx + -6cosx = 1 + 6cosx + -6cosx Combine like terms: 14cosx + -6cosx = 8cosx 7 + 8cosx = 1 + 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 7 + 8cosx = 1 + 0 7 + 8cosx = 1 Add '-7' to each side of the equation. 7 + -7 + 8cosx = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 8cosx = 1 + -7 8cosx = 1 + -7 Combine like terms: 1 + -7 = -6 8cosx = -6 Divide each side by '8osx'. c = -0.75o-1s-1x-1 Simplifying c = -0.75o-1s-1x-1
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