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Simplifying 0.4x + -5 = 1.5x + 4.5 Reorder the terms: -5 + 0.4x = 1.5x + 4.5 Reorder the terms: -5 + 0.4x = 4.5 + 1.5x Solving -5 + 0.4x = 4.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5 + 0.4x + -1.5x = 4.5 + 1.5x + -1.5x Combine like terms: 0.4x + -1.5x = -1.1x -5 + -1.1x = 4.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5 + -1.1x = 4.5 + 0.0 -5 + -1.1x = 4.5 Add '5' to each side of the equation. -5 + 5 + -1.1x = 4.5 + 5 Combine like terms: -5 + 5 = 0 0 + -1.1x = 4.5 + 5 -1.1x = 4.5 + 5 Combine like terms: 4.5 + 5 = 9.5 -1.1x = 9.5 Divide each side by '-1.1'. x = -8.636363636 Simplifying x = -8.636363636
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