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Simplifying 0.5x + 2.5 = 0.4x + 5.8 Reorder the terms: 2.5 + 0.5x = 0.4x + 5.8 Reorder the terms: 2.5 + 0.5x = 5.8 + 0.4x Solving 2.5 + 0.5x = 5.8 + 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. 2.5 + 0.5x + -0.4x = 5.8 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 2.5 + 0.1x = 5.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.5 + 0.1x = 5.8 + 0.0 2.5 + 0.1x = 5.8 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.1x = 5.8 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.1x = 5.8 + -2.5 0.1x = 5.8 + -2.5 Combine like terms: 5.8 + -2.5 = 3.3 0.1x = 3.3 Divide each side by '0.1'. x = 33 Simplifying x = 33
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