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Simplifying x = 0.4(456 + -0.6(456 + -1x)) x = 0.4(456 + (456 * -0.6 + -1x * -0.6)) x = 0.4(456 + (-273.6 + 0.6x)) Combine like terms: 456 + -273.6 = 182.4 x = 0.4(182.4 + 0.6x) x = (182.4 * 0.4 + 0.6x * 0.4) x = (72.96 + 0.24x) Solving x = 72.96 + 0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.24x' to each side of the equation. x + -0.24x = 72.96 + 0.24x + -0.24x Combine like terms: x + -0.24x = 0.76x 0.76x = 72.96 + 0.24x + -0.24x Combine like terms: 0.24x + -0.24x = 0.00 0.76x = 72.96 + 0.00 0.76x = 72.96 Divide each side by '0.76'. x = 96 Simplifying x = 96
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