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Simplifying 0.66x + -6 = 0.5x + 8 Reorder the terms: -6 + 0.66x = 0.5x + 8 Reorder the terms: -6 + 0.66x = 8 + 0.5x Solving -6 + 0.66x = 8 + 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. -6 + 0.66x + -0.5x = 8 + 0.5x + -0.5x Combine like terms: 0.66x + -0.5x = 0.16x -6 + 0.16x = 8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 0.16x = 8 + 0.0 -6 + 0.16x = 8 Add '6' to each side of the equation. -6 + 6 + 0.16x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 0.16x = 8 + 6 0.16x = 8 + 6 Combine like terms: 8 + 6 = 14 0.16x = 14 Divide each side by '0.16'. x = 87.5 Simplifying x = 87.5
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