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Simplifying 0.5x + -4 = 0.4x + 5 Reorder the terms: -4 + 0.5x = 0.4x + 5 Reorder the terms: -4 + 0.5x = 5 + 0.4x Solving -4 + 0.5x = 5 + 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 = 5 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -4 + 0.1x = 5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -4 + 0.1x = 5 + 0.0 -4 + 0.1x = 5 Add '4' to each side of the equation. -4 + 4 + 0.1x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 0.1x = 5 + 4 0.1x = 5 + 4 Combine like terms: 5 + 4 = 9 0.1x = 9 Divide each side by '0.1'. x = 90 Simplifying x = 90
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