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Simplifying 0.66x + -6 = 0.50x + 0.83 Reorder the terms: -6 + 0.66x = 0.50x + 0.83 Reorder the terms: -6 + 0.66x = 0.83 + 0.50x Solving -6 + 0.66x = 0.83 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -6 + 0.66x + -0.50x = 0.83 + 0.50x + -0.50x Combine like terms: 0.66x + -0.50x = 0.16x -6 + 0.16x = 0.83 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -6 + 0.16x = 0.83 + 0.00 -6 + 0.16x = 0.83 Add '6' to each side of the equation. -6 + 6 + 0.16x = 0.83 + 6 Combine like terms: -6 + 6 = 0 0 + 0.16x = 0.83 + 6 0.16x = 0.83 + 6 Combine like terms: 0.83 + 6 = 6.83 0.16x = 6.83 Divide each side by '0.16'. x = 42.6875 Simplifying x = 42.6875
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