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Simplifying -5(0.1x + 0.5) + -0.9 = -0.4 Reorder the terms: -5(0.5 + 0.1x) + -0.9 = -0.4 (0.5 * -5 + 0.1x * -5) + -0.9 = -0.4 (-2.5 + -0.5x) + -0.9 = -0.4 Reorder the terms: -2.5 + -0.9 + -0.5x = -0.4 Combine like terms: -2.5 + -0.9 = -3.4 -3.4 + -0.5x = -0.4 Solving -3.4 + -0.5x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.4' to each side of the equation. -3.4 + 3.4 + -0.5x = -0.4 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -0.5x = -0.4 + 3.4 -0.5x = -0.4 + 3.4 Combine like terms: -0.4 + 3.4 = 3 -0.5x = 3 Divide each side by '-0.5'. x = -6 Simplifying x = -6
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