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Simplifying -0.42857143x + 3 = 0.5x + -5 Reorder the terms: 3 + -0.42857143x = 0.5x + -5 Reorder the terms: 3 + -0.42857143x = -5 + 0.5x Solving 3 + -0.42857143x = -5 + 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. 3 + -0.42857143x + -0.5x = -5 + 0.5x + -0.5x Combine like terms: -0.42857143x + -0.5x = -0.92857143x 3 + -0.92857143x = -5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + -0.92857143x = -5 + 0.0 3 + -0.92857143x = -5 Add '-3' to each side of the equation. 3 + -3 + -0.92857143x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.92857143x = -5 + -3 -0.92857143x = -5 + -3 Combine like terms: -5 + -3 = -8 -0.92857143x = -8 Divide each side by '-0.92857143'. x = 8.615384602 Simplifying x = 8.615384602
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