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Simplifying 0.4x + -5 = 6x + 9 Reorder the terms: -5 + 0.4x = 6x + 9 Reorder the terms: -5 + 0.4x = 9 + 6x Solving -5 + 0.4x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 0.4x + -6x = 9 + 6x + -6x Combine like terms: 0.4x + -6x = -5.6x -5 + -5.6x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -5.6x = 9 + 0 -5 + -5.6x = 9 Add '5' to each side of the equation. -5 + 5 + -5.6x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -5.6x = 9 + 5 -5.6x = 9 + 5 Combine like terms: 9 + 5 = 14 -5.6x = 14 Divide each side by '-5.6'. x = -2.5 Simplifying x = -2.5
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