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Simplifying 0.5(10 + -9x) = 0.125 (10 * 0.5 + -9x * 0.5) = 0.125 (5 + -4.5x) = 0.125 Solving 5 + -4.5x = 0.125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4.5x = 0.125 + -5 Combine like terms: 5 + -5 = 0 0 + -4.5x = 0.125 + -5 -4.5x = 0.125 + -5 Combine like terms: 0.125 + -5 = -4.875 -4.5x = -4.875 Divide each side by '-4.5'. x = 1.083333333 Simplifying x = 1.083333333
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