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Simplifying 0.5x + 4.1 = 5.7 + -0.3x Reorder the terms: 4.1 + 0.5x = 5.7 + -0.3x Solving 4.1 + 0.5x = 5.7 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 4.1 + 0.5x + 0.3x = 5.7 + -0.3x + 0.3x Combine like terms: 0.5x + 0.3x = 0.8x 4.1 + 0.8x = 5.7 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 4.1 + 0.8x = 5.7 + 0.0 4.1 + 0.8x = 5.7 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 0.8x = 5.7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.8x = 5.7 + -4.1 0.8x = 5.7 + -4.1 Combine like terms: 5.7 + -4.1 = 1.6 0.8x = 1.6 Divide each side by '0.8'. x = 2 Simplifying x = 2
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