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Simplifying x = 1 + -0.95(1 + -0.9x) x = 1 + (1 * -0.95 + -0.9x * -0.95) x = 1 + (-0.95 + 0.855x) Combine like terms: 1 + -0.95 = 0.05 x = 0.05 + 0.855x Solving x = 0.05 + 0.855x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.855x' to each side of the equation. x + -0.855x = 0.05 + 0.855x + -0.855x Combine like terms: x + -0.855x = 0.145x 0.145x = 0.05 + 0.855x + -0.855x Combine like terms: 0.855x + -0.855x = 0.000 0.145x = 0.05 + 0.000 0.145x = 0.05 Divide each side by '0.145'. x = 0.3448275862 Simplifying x = 0.3448275862
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