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Simplifying x = 0.4(4.56 + -0.65(4.65 + -1x)) x = 0.4(4.56 + (4.65 * -0.65 + -1x * -0.65)) x = 0.4(4.56 + (-3.0225 + 0.65x)) Combine like terms: 4.56 + -3.0225 = 1.5375 x = 0.4(1.5375 + 0.65x) x = (1.5375 * 0.4 + 0.65x * 0.4) x = (0.615 + 0.26x) Solving x = 0.615 + 0.26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.26x' to each side of the equation. x + -0.26x = 0.615 + 0.26x + -0.26x Combine like terms: x + -0.26x = 0.74x 0.74x = 0.615 + 0.26x + -0.26x Combine like terms: 0.26x + -0.26x = 0.00 0.74x = 0.615 + 0.00 0.74x = 0.615 Divide each side by '0.74'. x = 0.8310810811 Simplifying x = 0.8310810811
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