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Simplifying -1.2x + 0.4 + 0.8x + 2x + 0.6 = 0 Reorder the terms: 0.4 + 0.6 + -1.2x + 0.8x + 2x = 0 Combine like terms: 0.4 + 0.6 = 1 1 + -1.2x + 0.8x + 2x = 0 Combine like terms: -1.2x + 0.8x = -0.4x 1 + -0.4x + 2x = 0 Combine like terms: -0.4x + 2x = 1.6x 1 + 1.6x = 0 Solving 1 + 1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.6x = 0 + -1 1.6x = 0 + -1 Combine like terms: 0 + -1 = -1 1.6x = -1 Divide each side by '1.6'. x = -0.625 Simplifying x = -0.625
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