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Simplifying x = ln + -1(0.18 + 0.5x) x = ln + (0.18 * -1 + 0.5x * -1) x = ln + (-0.18 + -0.5x) Reorder the terms: x = -0.18 + ln + -0.5x Solving x = -0.18 + ln + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. x + 0.5x = -0.18 + ln + -0.5x + 0.5x Combine like terms: x + 0.5x = 1.5x 1.5x = -0.18 + ln + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.5x = -0.18 + ln + 0.0 1.5x = -0.18 + ln Divide each side by '1.5'. x = -0.12 + 0.6666666667ln Simplifying x = -0.12 + 0.6666666667ln
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