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Simplifying 0.6x + 0.3 = 0.4 + -0.4x + 0.4 Reorder the terms: 0.3 + 0.6x = 0.4 + -0.4x + 0.4 Reorder the terms: 0.3 + 0.6x = 0.4 + 0.4 + -0.4x Combine like terms: 0.4 + 0.4 = 0.8 0.3 + 0.6x = 0.8 + -0.4x Solving 0.3 + 0.6x = 0.8 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.3 + 0.6x + 0.4x = 0.8 + -0.4x + 0.4x Combine like terms: 0.6x + 0.4x = 1x 0.3 + 1x = 0.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.3 + 1x = 0.8 + 0.0 0.3 + 1x = 0.8 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 1x = 0.8 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 1x = 0.8 + -0.3 1x = 0.8 + -0.3 Combine like terms: 0.8 + -0.3 = 0.5 1x = 0.5 Divide each side by '1'. x = 0.5 Simplifying x = 0.5
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