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Simplifying 0.3x + 0.4 = 0.9x + -1.4 Reorder the terms: 0.4 + 0.3x = 0.9x + -1.4 Reorder the terms: 0.4 + 0.3x = -1.4 + 0.9x Solving 0.4 + 0.3x = -1.4 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.4 + 0.3x + -0.9x = -1.4 + 0.9x + -0.9x Combine like terms: 0.3x + -0.9x = -0.6x 0.4 + -0.6x = -1.4 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.4 + -0.6x = -1.4 + 0.0 0.4 + -0.6x = -1.4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.6x = -1.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.6x = -1.4 + -0.4 -0.6x = -1.4 + -0.4 Combine like terms: -1.4 + -0.4 = -1.8 -0.6x = -1.8 Divide each side by '-0.6'. x = 3 Simplifying x = 3
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