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Simplifying -5(0.1x + 0.5) + 0.0 = 0.1 Reorder the terms: -5(0.5 + 0.1x) + 0.0 = 0.1 (0.5 * -5 + 0.1x * -5) + 0.0 = 0.1 (-2.5 + -0.5x) + 0.0 = 0.1 Reorder the terms: -2.5 + 0.0 + -0.5x = 0.1 Combine like terms: -2.5 + 0.0 = -2.5 -2.5 + -0.5x = 0.1 Solving -2.5 + -0.5x = 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 + -0.5x = 0.1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.5x = 0.1 + 2.5 -0.5x = 0.1 + 2.5 Combine like terms: 0.1 + 2.5 = 2.6 -0.5x = 2.6 Divide each side by '-0.5'. x = -5.2 Simplifying x = -5.2
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