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Simplifying -5(0.1x + 0.2) + -0.9 = -0.4 Reorder the terms: -5(0.2 + 0.1x) + -0.9 = -0.4 (0.2 * -5 + 0.1x * -5) + -0.9 = -0.4 (-1 + -0.5x) + -0.9 = -0.4 Reorder the terms: -1 + -0.9 + -0.5x = -0.4 Combine like terms: -1 + -0.9 = -1.9 -1.9 + -0.5x = -0.4 Solving -1.9 + -0.5x = -0.4 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 + -0.5x = -0.4 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -0.5x = -0.4 + 1.9 -0.5x = -0.4 + 1.9 Combine like terms: -0.4 + 1.9 = 1.5 -0.5x = 1.5 Divide each side by '-0.5'. x = -3 Simplifying x = -3
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