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Simplifying 0.8x + -8 = 0.3x + 12 Reorder the terms: -8 + 0.8x = 0.3x + 12 Reorder the terms: -8 + 0.8x = 12 + 0.3x Solving -8 + 0.8x = 12 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -8 + 0.8x + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x -8 + 0.5x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -8 + 0.5x = 12 + 0.0 -8 + 0.5x = 12 Add '8' to each side of the equation. -8 + 8 + 0.5x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 0.5x = 12 + 8 0.5x = 12 + 8 Combine like terms: 12 + 8 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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