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Simplifying 5cos(2x) + 7 = cos(2x) + 8 Remove parenthesis around (2x) 5cos * 2x + 7 = cos(2x) + 8 Reorder the terms for easier multiplication: 5 * 2cos * x + 7 = cos(2x) + 8 Multiply 5 * 2 10cos * x + 7 = cos(2x) + 8 Multiply cos * x 10cosx + 7 = cos(2x) + 8 Reorder the terms: 7 + 10cosx = cos(2x) + 8 Remove parenthesis around (2x) 7 + 10cosx = cos * 2x + 8 Reorder the terms for easier multiplication: 7 + 10cosx = 2cos * x + 8 Multiply cos * x 7 + 10cosx = 2cosx + 8 Reorder the terms: 7 + 10cosx = 8 + 2cosx Solving 7 + 10cosx = 8 + 2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. 7 + 10cosx + -2cosx = 8 + 2cosx + -2cosx Combine like terms: 10cosx + -2cosx = 8cosx 7 + 8cosx = 8 + 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 7 + 8cosx = 8 + 0 7 + 8cosx = 8 Add '-7' to each side of the equation. 7 + -7 + 8cosx = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 8cosx = 8 + -7 8cosx = 8 + -7 Combine like terms: 8 + -7 = 1 8cosx = 1 Divide each side by '8osx'. c = 0.125o-1s-1x-1 Simplifying c = 0.125o-1s-1x-1
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