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Simplifying 0.5x + -2.8 = 2.8x + 2.4 Reorder the terms: -2.8 + 0.5x = 2.8x + 2.4 Reorder the terms: -2.8 + 0.5x = 2.4 + 2.8x Solving -2.8 + 0.5x = 2.4 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. -2.8 + 0.5x + -2.8x = 2.4 + 2.8x + -2.8x Combine like terms: 0.5x + -2.8x = -2.3x -2.8 + -2.3x = 2.4 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 -2.8 + -2.3x = 2.4 + 0.0 -2.8 + -2.3x = 2.4 Add '2.8' to each side of the equation. -2.8 + 2.8 + -2.3x = 2.4 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -2.3x = 2.4 + 2.8 -2.3x = 2.4 + 2.8 Combine like terms: 2.4 + 2.8 = 5.2 -2.3x = 5.2 Divide each side by '-2.3'. x = -2.260869565 Simplifying x = -2.260869565
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