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Simplifying -8(0.2x + 0.5) + -0.9 = -0.1 Reorder the terms: -8(0.5 + 0.2x) + -0.9 = -0.1 (0.5 * -8 + 0.2x * -8) + -0.9 = -0.1 (-4 + -1.6x) + -0.9 = -0.1 Reorder the terms: -4 + -0.9 + -1.6x = -0.1 Combine like terms: -4 + -0.9 = -4.9 -4.9 + -1.6x = -0.1 Solving -4.9 + -1.6x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.9' to each side of the equation. -4.9 + 4.9 + -1.6x = -0.1 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -1.6x = -0.1 + 4.9 -1.6x = -0.1 + 4.9 Combine like terms: -0.1 + 4.9 = 4.8 -1.6x = 4.8 Divide each side by '-1.6'. x = -3 Simplifying x = -3
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