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Simplifying 0.5x + 3.8 = 0.4x + 1.5 Reorder the terms: 3.8 + 0.5x = 0.4x + 1.5 Reorder the terms: 3.8 + 0.5x = 1.5 + 0.4x Solving 3.8 + 0.5x = 1.5 + 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. 3.8 + 0.5x + -0.4x = 1.5 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 3.8 + 0.1x = 1.5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 3.8 + 0.1x = 1.5 + 0.0 3.8 + 0.1x = 1.5 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.1x = 1.5 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.1x = 1.5 + -3.8 0.1x = 1.5 + -3.8 Combine like terms: 1.5 + -3.8 = -2.3 0.1x = -2.3 Divide each side by '0.1'. x = -23 Simplifying x = -23
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