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Simplifying -0.4x + 0.4 + 0.6x = 0.9 + -0.3x Reorder the terms: 0.4 + -0.4x + 0.6x = 0.9 + -0.3x Combine like terms: -0.4x + 0.6x = 0.2x 0.4 + 0.2x = 0.9 + -0.3x Solving 0.4 + 0.2x = 0.9 + -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. 0.4 + 0.2x + 0.3x = 0.9 + -0.3x + 0.3x Combine like terms: 0.2x + 0.3x = 0.5x 0.4 + 0.5x = 0.9 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.4 + 0.5x = 0.9 + 0.0 0.4 + 0.5x = 0.9 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.5x = 0.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.5x = 0.9 + -0.4 0.5x = 0.9 + -0.4 Combine like terms: 0.9 + -0.4 = 0.5 0.5x = 0.5 Divide each side by '0.5'. x = 1 Simplifying x = 1
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