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Simplifying 0.4x + 0.9 = 0.3 + -0.2x Reorder the terms: 0.9 + 0.4x = 0.3 + -0.2x Solving 0.9 + 0.4x = 0.3 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.9 + 0.4x + 0.2x = 0.3 + -0.2x + 0.2x Combine like terms: 0.4x + 0.2x = 0.6x 0.9 + 0.6x = 0.3 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.9 + 0.6x = 0.3 + 0.0 0.9 + 0.6x = 0.3 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.6x = 0.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.6x = 0.3 + -0.9 0.6x = 0.3 + -0.9 Combine like terms: 0.3 + -0.9 = -0.6 0.6x = -0.6 Divide each side by '0.6'. x = -1 Simplifying x = -1
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