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Simplifying -8(0.1x + 0.5) + -1.2 = -0.4 Reorder the terms: -8(0.5 + 0.1x) + -1.2 = -0.4 (0.5 * -8 + 0.1x * -8) + -1.2 = -0.4 (-4 + -0.8x) + -1.2 = -0.4 Reorder the terms: -4 + -1.2 + -0.8x = -0.4 Combine like terms: -4 + -1.2 = -5.2 -5.2 + -0.8x = -0.4 Solving -5.2 + -0.8x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.2' to each side of the equation. -5.2 + 5.2 + -0.8x = -0.4 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -0.8x = -0.4 + 5.2 -0.8x = -0.4 + 5.2 Combine like terms: -0.4 + 5.2 = 4.8 -0.8x = 4.8 Divide each side by '-0.8'. x = -6 Simplifying x = -6
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