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Simplifying 0.5x + 4 = 0.4x + 8 Reorder the terms: 4 + 0.5x = 0.4x + 8 Reorder the terms: 4 + 0.5x = 8 + 0.4x Solving 4 + 0.5x = 8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 4 + 0.5x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 4 + 0.1x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4 + 0.1x = 8 + 0.0 4 + 0.1x = 8 Add '-4' to each side of the equation. 4 + -4 + 0.1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.1x = 8 + -4 0.1x = 8 + -4 Combine like terms: 8 + -4 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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