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Simplifying 0.4(6x + 0.8) + 0.18 = 0 Reorder the terms: 0.4(0.8 + 6x) + 0.18 = 0 (0.8 * 0.4 + 6x * 0.4) + 0.18 = 0 (0.32 + 2.4x) + 0.18 = 0 Reorder the terms: 0.32 + 0.18 + 2.4x = 0 Combine like terms: 0.32 + 0.18 = 0.5 0.5 + 2.4x = 0 Solving 0.5 + 2.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2.4x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2.4x = 0 + -0.5 2.4x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 2.4x = -0.5 Divide each side by '2.4'. x = -0.2083333333 Simplifying x = -0.2083333333
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