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Simplifying 1.4x + -3.8 = 0.4x + 6.2 Reorder the terms: -3.8 + 1.4x = 0.4x + 6.2 Reorder the terms: -3.8 + 1.4x = 6.2 + 0.4x Solving -3.8 + 1.4x = 6.2 + 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 + 1.4x + -0.4x = 6.2 + 0.4x + -0.4x Combine like terms: 1.4x + -0.4x = 1x -3.8 + 1x = 6.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3.8 + 1x = 6.2 + 0.0 -3.8 + 1x = 6.2 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1x = 6.2 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1x = 6.2 + 3.8 1x = 6.2 + 3.8 Combine like terms: 6.2 + 3.8 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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