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Simplifying -4(0.1x + 0.4) + -0.9 = -0.5 Reorder the terms: -4(0.4 + 0.1x) + -0.9 = -0.5 (0.4 * -4 + 0.1x * -4) + -0.9 = -0.5 (-1.6 + -0.4x) + -0.9 = -0.5 Reorder the terms: -1.6 + -0.9 + -0.4x = -0.5 Combine like terms: -1.6 + -0.9 = -2.5 -2.5 + -0.4x = -0.5 Solving -2.5 + -0.4x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.4x = -0.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.4x = -0.5 + 2.5 -0.4x = -0.5 + 2.5 Combine like terms: -0.5 + 2.5 = 2 -0.4x = 2 Divide each side by '-0.4'. x = -5 Simplifying x = -5
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