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Simplifying -0.1(4.55 + 8x) = -0.1 (4.55 * -0.1 + 8x * -0.1) = -0.1 (-0.455 + -0.8x) = -0.1 Solving -0.455 + -0.8x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.455' to each side of the equation. -0.455 + 0.455 + -0.8x = -0.1 + 0.455 Combine like terms: -0.455 + 0.455 = 0.000 0.000 + -0.8x = -0.1 + 0.455 -0.8x = -0.1 + 0.455 Combine like terms: -0.1 + 0.455 = 0.355 -0.8x = 0.355 Divide each side by '-0.8'. x = -0.44375 Simplifying x = -0.44375
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