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Simplifying -5.4 + 4.2 + -1.6x + 3.8 = 0 Reorder the terms: -5.4 + 4.2 + 3.8 + -1.6x = 0 Combine like terms: -5.4 + 4.2 = -1.2 -1.2 + 3.8 + -1.6x = 0 Combine like terms: -1.2 + 3.8 = 2.6 2.6 + -1.6x = 0 Solving 2.6 + -1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + -1.6x = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -1.6x = 0 + -2.6 -1.6x = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -1.6x = -2.6 Divide each side by '-1.6'. x = 1.625 Simplifying x = 1.625
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