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Simplifying 0.4x + -5 = 0.6x + 7 Reorder the terms: -5 + 0.4x = 0.6x + 7 Reorder the terms: -5 + 0.4x = 7 + 0.6x Solving -5 + 0.4x = 7 + 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. -5 + 0.4x + -0.6x = 7 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x -5 + -0.2x = 7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -5 + -0.2x = 7 + 0.0 -5 + -0.2x = 7 Add '5' to each side of the equation. -5 + 5 + -0.2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -0.2x = 7 + 5 -0.2x = 7 + 5 Combine like terms: 7 + 5 = 12 -0.2x = 12 Divide each side by '-0.2'. x = -60 Simplifying x = -60
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