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Simplifying 0.4x + 0.8 = 0.9x + -1.2 Reorder the terms: 0.8 + 0.4x = 0.9x + -1.2 Reorder the terms: 0.8 + 0.4x = -1.2 + 0.9x Solving 0.8 + 0.4x = -1.2 + 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. 0.8 + 0.4x + -0.9x = -1.2 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 0.8 + -0.5x = -1.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.8 + -0.5x = -1.2 + 0.0 0.8 + -0.5x = -1.2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.5x = -1.2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.5x = -1.2 + -0.8 -0.5x = -1.2 + -0.8 Combine like terms: -1.2 + -0.8 = -2 -0.5x = -2 Divide each side by '-0.5'. x = 4 Simplifying x = 4
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