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Simplifying 0.43x + 0.5 = 0.44 + -0.57x + 0.44 Reorder the terms: 0.5 + 0.43x = 0.44 + -0.57x + 0.44 Reorder the terms: 0.5 + 0.43x = 0.44 + 0.44 + -0.57x Combine like terms: 0.44 + 0.44 = 0.88 0.5 + 0.43x = 0.88 + -0.57x Solving 0.5 + 0.43x = 0.88 + -0.57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.57x' to each side of the equation. 0.5 + 0.43x + 0.57x = 0.88 + -0.57x + 0.57x Combine like terms: 0.43x + 0.57x = 1x 0.5 + 1x = 0.88 + -0.57x + 0.57x Combine like terms: -0.57x + 0.57x = 0.00 0.5 + 1x = 0.88 + 0.00 0.5 + 1x = 0.88 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1x = 0.88 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 0.88 + -0.5 1x = 0.88 + -0.5 Combine like terms: 0.88 + -0.5 = 0.38 1x = 0.38 Divide each side by '1'. x = 0.38 Simplifying x = 0.38
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