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Simplifying 0.363636x + 0.333333 = 0.4 + -0.636364x + 0.4 Reorder the terms: 0.333333 + 0.363636x = 0.4 + -0.636364x + 0.4 Reorder the terms: 0.333333 + 0.363636x = 0.4 + 0.4 + -0.636364x Combine like terms: 0.4 + 0.4 = 0.8 0.333333 + 0.363636x = 0.8 + -0.636364x Solving 0.333333 + 0.363636x = 0.8 + -0.636364x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.636364x' to each side of the equation. 0.333333 + 0.363636x + 0.636364x = 0.8 + -0.636364x + 0.636364x Combine like terms: 0.363636x + 0.636364x = 1x 0.333333 + 1x = 0.8 + -0.636364x + 0.636364x Combine like terms: -0.636364x + 0.636364x = 0.000000 0.333333 + 1x = 0.8 + 0.000000 0.333333 + 1x = 0.8 Add '-0.333333' to each side of the equation. 0.333333 + -0.333333 + 1x = 0.8 + -0.333333 Combine like terms: 0.333333 + -0.333333 = 0.000000 0.000000 + 1x = 0.8 + -0.333333 1x = 0.8 + -0.333333 Combine like terms: 0.8 + -0.333333 = 0.466667 1x = 0.466667 Divide each side by '1'. x = 0.466667 Simplifying x = 0.466667
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