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Simplifying 0.4x + 8 = 0.5x Reorder the terms: 8 + 0.4x = 0.5x Solving 8 + 0.4x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 8 + 0.4x + -0.5x = 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 8 + -0.1x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + -0.1x = 0.0 Add '-8' to each side of the equation. 8 + -8 + -0.1x = 0.0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.1x = 0.0 + -8 -0.1x = 0.0 + -8 Combine like terms: 0.0 + -8 = -8 -0.1x = -8 Divide each side by '-0.1'. x = 80 Simplifying x = 80
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