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Simplifying 0.666x + -0.16 = 0.5x + 0.83 Reorder the terms: -0.16 + 0.666x = 0.5x + 0.83 Reorder the terms: -0.16 + 0.666x = 0.83 + 0.5x Solving -0.16 + 0.666x = 0.83 + 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. -0.16 + 0.666x + -0.5x = 0.83 + 0.5x + -0.5x Combine like terms: 0.666x + -0.5x = 0.166x -0.16 + 0.166x = 0.83 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.16 + 0.166x = 0.83 + 0.0 -0.16 + 0.166x = 0.83 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.166x = 0.83 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.166x = 0.83 + 0.16 0.166x = 0.83 + 0.16 Combine like terms: 0.83 + 0.16 = 0.99 0.166x = 0.99 Divide each side by '0.166'. x = 5.963855422 Simplifying x = 5.963855422
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