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Simplifying 0.66x + -0.166 = 0.5x + 0.833 Reorder the terms: -0.166 + 0.66x = 0.5x + 0.833 Reorder the terms: -0.166 + 0.66x = 0.833 + 0.5x Solving -0.166 + 0.66x = 0.833 + 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. -0.166 + 0.66x + -0.5x = 0.833 + 0.5x + -0.5x Combine like terms: 0.66x + -0.5x = 0.16x -0.166 + 0.16x = 0.833 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.166 + 0.16x = 0.833 + 0.0 -0.166 + 0.16x = 0.833 Add '0.166' to each side of the equation. -0.166 + 0.166 + 0.16x = 0.833 + 0.166 Combine like terms: -0.166 + 0.166 = 0.000 0.000 + 0.16x = 0.833 + 0.166 0.16x = 0.833 + 0.166 Combine like terms: 0.833 + 0.166 = 0.999 0.16x = 0.999 Divide each side by '0.16'. x = 6.24375 Simplifying x = 6.24375
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