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Simplifying 0.5x + 0.2x = 0.4x + 5 Combine like terms: 0.5x + 0.2x = 0.7x 0.7x = 0.4x + 5 Reorder the terms: 0.7x = 5 + 0.4x Solving 0.7x = 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. 0.7x + -0.4x = 5 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x 0.3x = 5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.3x = 5 + 0.0 0.3x = 5 Divide each side by '0.3'. x = 16.66666667 Simplifying x = 16.66666667
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