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Simplifying ln(3x + -2) + 1 = -4cos(0.5x) + 2 Reorder the terms: ln(-2 + 3x) + 1 = -4cos(0.5x) + 2 (-2 * ln + 3x * ln) + 1 = -4cos(0.5x) + 2 (-2ln + 3lnx) + 1 = -4cos(0.5x) + 2 Reorder the terms: 1 + -2ln + 3lnx = -4cos(0.5x) + 2 Remove parenthesis around (0.5x) 1 + -2ln + 3lnx = -4cos * 0.5x + 2 Reorder the terms for easier multiplication: 1 + -2ln + 3lnx = -4 * 0.5cos * x + 2 Multiply -4 * 0.5 1 + -2ln + 3lnx = -2cos * x + 2 Multiply cos * x 1 + -2ln + 3lnx = -2cosx + 2 Reorder the terms: 1 + -2ln + 3lnx = 2 + -2cosx Solving 1 + -2ln + 3lnx = 2 + -2cosx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ln + -1 + 3lnx = 2 + -1 + -2cosx Reorder the terms: 1 + -1 + -2ln + 3lnx = 2 + -1 + -2cosx Combine like terms: 1 + -1 = 0 0 + -2ln + 3lnx = 2 + -1 + -2cosx -2ln + 3lnx = 2 + -1 + -2cosx Combine like terms: 2 + -1 = 1 -2ln + 3lnx = 1 + -2cosx Reorder the terms: -1 + 2cosx + -2ln + 3lnx = 1 + -2cosx + -1 + 2cosx Reorder the terms: -1 + 2cosx + -2ln + 3lnx = 1 + -1 + -2cosx + 2cosx Combine like terms: 1 + -1 = 0 -1 + 2cosx + -2ln + 3lnx = 0 + -2cosx + 2cosx -1 + 2cosx + -2ln + 3lnx = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 -1 + 2cosx + -2ln + 3lnx = 0 The solution to this equation could not be determined.
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