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Simplifying 0.5x + -0.1 + 0.4x + 2 = 0 Reorder the terms: -0.1 + 2 + 0.5x + 0.4x = 0 Combine like terms: -0.1 + 2 = 1.9 1.9 + 0.5x + 0.4x = 0 Combine like terms: 0.5x + 0.4x = 0.9x 1.9 + 0.9x = 0 Solving 1.9 + 0.9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9' to each side of the equation. 1.9 + -1.9 + 0.9x = 0 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 0.9x = 0 + -1.9 0.9x = 0 + -1.9 Combine like terms: 0 + -1.9 = -1.9 0.9x = -1.9 Divide each side by '0.9'. x = -2.111111111 Simplifying x = -2.111111111
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