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Simplifying 0.4x + -5 = 4.5 + -1.5x 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 = 1.9x -5 + 1.9x = 4.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -5 + 1.9x = 4.5 + 0.0 -5 + 1.9x = 4.5 Add '5' to each side of the equation. -5 + 5 + 1.9x = 4.5 + 5 Combine like terms: -5 + 5 = 0 0 + 1.9x = 4.5 + 5 1.9x = 4.5 + 5 Combine like terms: 4.5 + 5 = 9.5 1.9x = 9.5 Divide each side by '1.9'. x = 5 Simplifying x = 5
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