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Simplifying 0.5 = (1 + -0.1) * x Combine like terms: 1 + -0.1 = 0.9 0.5 = (0.9) * x Solving 0.5 = 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.5 + -0.9x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.5 + -0.9x = 0.0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.9x = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.9x = 0.0 + -0.5 -0.9x = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.9x = -0.5 Divide each side by '-0.9'. x = 0.5555555556 Simplifying x = 0.5555555556
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