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Simplifying 0.5x + -3 = 0.8x + -1.5 Reorder the terms: -3 + 0.5x = 0.8x + -1.5 Reorder the terms: -3 + 0.5x = -1.5 + 0.8x Solving -3 + 0.5x = -1.5 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -3 + 0.5x + -0.8x = -1.5 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x -3 + -0.3x = -1.5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -3 + -0.3x = -1.5 + 0.0 -3 + -0.3x = -1.5 Add '3' to each side of the equation. -3 + 3 + -0.3x = -1.5 + 3 Combine like terms: -3 + 3 = 0 0 + -0.3x = -1.5 + 3 -0.3x = -1.5 + 3 Combine like terms: -1.5 + 3 = 1.5 -0.3x = 1.5 Divide each side by '-0.3'. x = -5 Simplifying x = -5
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