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Simplifying -0.5x + 0.4 = -4.8 + -1.3x Reorder the terms: 0.4 + -0.5x = -4.8 + -1.3x Solving 0.4 + -0.5x = -4.8 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 0.4 + -0.5x + 1.3x = -4.8 + -1.3x + 1.3x Combine like terms: -0.5x + 1.3x = 0.8x 0.4 + 0.8x = -4.8 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 0.4 + 0.8x = -4.8 + 0.0 0.4 + 0.8x = -4.8 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.8x = -4.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.8x = -4.8 + -0.4 0.8x = -4.8 + -0.4 Combine like terms: -4.8 + -0.4 = -5.2 0.8x = -5.2 Divide each side by '0.8'. x = -6.5 Simplifying x = -6.5
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