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Simplifying 6cosx + -1 = 2(2cosx + -1) Reorder the terms: -1 + 6cosx = 2(2cosx + -1) Reorder the terms: -1 + 6cosx = 2(-1 + 2cosx) -1 + 6cosx = (-1 * 2 + 2cosx * 2) -1 + 6cosx = (-2 + 4cosx) Solving -1 + 6cosx = -2 + 4cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cosx' to each side of the equation. -1 + 6cosx + -4cosx = -2 + 4cosx + -4cosx Combine like terms: 6cosx + -4cosx = 2cosx -1 + 2cosx = -2 + 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 -1 + 2cosx = -2 + 0 -1 + 2cosx = -2 Add '1' to each side of the equation. -1 + 1 + 2cosx = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 2cosx = -2 + 1 2cosx = -2 + 1 Combine like terms: -2 + 1 = -1 2cosx = -1 Divide each side by '2osx'. c = -0.5o-1s-1x-1 Simplifying c = -0.5o-1s-1x-1
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