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Simplifying 0.4x + -2 = 0.6x + 3 Reorder the terms: -2 + 0.4x = 0.6x + 3 Reorder the terms: -2 + 0.4x = 3 + 0.6x Solving -2 + 0.4x = 3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -2 + 0.4x + -0.6x = 3 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x -2 + -0.2x = 3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -2 + -0.2x = 3 + 0.0 -2 + -0.2x = 3 Add '2' to each side of the equation. -2 + 2 + -0.2x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -0.2x = 3 + 2 -0.2x = 3 + 2 Combine like terms: 3 + 2 = 5 -0.2x = 5 Divide each side by '-0.2'. x = -25 Simplifying x = -25
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