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Simplifying 0.6666x + -5 = 0.5x + -3 Reorder the terms: -5 + 0.6666x = 0.5x + -3 Reorder the terms: -5 + 0.6666x = -3 + 0.5x Solving -5 + 0.6666x = -3 + 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. -5 + 0.6666x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.6666x + -0.5x = 0.1666x -5 + 0.1666x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5 + 0.1666x = -3 + 0.0 -5 + 0.1666x = -3 Add '5' to each side of the equation. -5 + 5 + 0.1666x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 0.1666x = -3 + 5 0.1666x = -3 + 5 Combine like terms: -3 + 5 = 2 0.1666x = 2 Divide each side by '0.1666'. x = 12.00480192 Simplifying x = 12.00480192
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