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Simplifying 0.8x + -4 = 0.2x + 8 Reorder the terms: -4 + 0.8x = 0.2x + 8 Reorder the terms: -4 + 0.8x = 8 + 0.2x Solving -4 + 0.8x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -4 + 0.8x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -4 + 0.6x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4 + 0.6x = 8 + 0.0 -4 + 0.6x = 8 Add '4' to each side of the equation. -4 + 4 + 0.6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 0.6x = 8 + 4 0.6x = 8 + 4 Combine like terms: 8 + 4 = 12 0.6x = 12 Divide each side by '0.6'. x = 20 Simplifying x = 20
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