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Simplifying 0.4x + 0.42 = 1 + -0.57x Reorder the terms: 0.42 + 0.4x = 1 + -0.57x Solving 0.42 + 0.4x = 1 + -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. 0.42 + 0.4x + 0.57x = 1 + -0.57x + 0.57x Combine like terms: 0.4x + 0.57x = 0.97x 0.42 + 0.97x = 1 + -0.57x + 0.57x Combine like terms: -0.57x + 0.57x = 0.00 0.42 + 0.97x = 1 + 0.00 0.42 + 0.97x = 1 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.97x = 1 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.97x = 1 + -0.42 0.97x = 1 + -0.42 Combine like terms: 1 + -0.42 = 0.58 0.97x = 0.58 Divide each side by '0.97'. x = 0.5979381443 Simplifying x = 0.5979381443
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