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Simplifying -8(0.1x + 0.2) + -0.9 = -0.1 Reorder the terms: -8(0.2 + 0.1x) + -0.9 = -0.1 (0.2 * -8 + 0.1x * -8) + -0.9 = -0.1 (-1.6 + -0.8x) + -0.9 = -0.1 Reorder the terms: -1.6 + -0.9 + -0.8x = -0.1 Combine like terms: -1.6 + -0.9 = -2.5 -2.5 + -0.8x = -0.1 Solving -2.5 + -0.8x = -0.1 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 + -0.8x = -0.1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.8x = -0.1 + 2.5 -0.8x = -0.1 + 2.5 Combine like terms: -0.1 + 2.5 = 2.4 -0.8x = 2.4 Divide each side by '-0.8'. x = -3 Simplifying x = -3
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