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Simplifying 1.6x + -5.4 = 4.5x + 0.4 Reorder the terms: -5.4 + 1.6x = 4.5x + 0.4 Reorder the terms: -5.4 + 1.6x = 0.4 + 4.5x Solving -5.4 + 1.6x = 0.4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -5.4 + 1.6x + -4.5x = 0.4 + 4.5x + -4.5x Combine like terms: 1.6x + -4.5x = -2.9x -5.4 + -2.9x = 0.4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -5.4 + -2.9x = 0.4 + 0.0 -5.4 + -2.9x = 0.4 Add '5.4' to each side of the equation. -5.4 + 5.4 + -2.9x = 0.4 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -2.9x = 0.4 + 5.4 -2.9x = 0.4 + 5.4 Combine like terms: 0.4 + 5.4 = 5.8 -2.9x = 5.8 Divide each side by '-2.9'. x = -2 Simplifying x = -2
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