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Simplifying 5x + -2 = 3x + 1(ln(3)) Reorder the terms: -2 + 5x = 3x + 1(ln(3)) Reorder the terms for easier multiplication: -2 + 5x = 3x + 1(3ln) Remove parenthesis around (3ln) -2 + 5x = 3x + 1 * 3ln Multiply 1 * 3 -2 + 5x = 3x + 3ln Reorder the terms: -2 + 5x = 3ln + 3x Solving -2 + 5x = 3ln + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 5x + -3x = 3ln + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = 3ln + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = 3ln + 0 -2 + 2x = 3ln Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 3ln Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 3ln 2x = 2 + 3ln Divide each side by '2'. x = 1 + 1.5ln Simplifying x = 1 + 1.5ln
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