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Simplifying 0.66x + -0.3 = 0.5x + 0.83 Reorder the terms: -0.3 + 0.66x = 0.5x + 0.83 Reorder the terms: -0.3 + 0.66x = 0.83 + 0.5x Solving -0.3 + 0.66x = 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. -0.3 + 0.66x + -0.5x = 0.83 + 0.5x + -0.5x Combine like terms: 0.66x + -0.5x = 0.16x -0.3 + 0.16x = 0.83 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.3 + 0.16x = 0.83 + 0.0 -0.3 + 0.16x = 0.83 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.16x = 0.83 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.16x = 0.83 + 0.3 0.16x = 0.83 + 0.3 Combine like terms: 0.83 + 0.3 = 1.13 0.16x = 1.13 Divide each side by '0.16'. x = 7.0625 Simplifying x = 7.0625
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