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Simplifying 0.8333(1 + -1x) = -1x + 1 (1 * 0.8333 + -1x * 0.8333) = -1x + 1 (0.8333 + -0.8333x) = -1x + 1 Reorder the terms: 0.8333 + -0.8333x = 1 + -1x Solving 0.8333 + -0.8333x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.8333 + -0.8333x + x = 1 + -1x + x Combine like terms: -0.8333x + x = 0.1667x 0.8333 + 0.1667x = 1 + -1x + x Combine like terms: -1x + x = 0 0.8333 + 0.1667x = 1 + 0 0.8333 + 0.1667x = 1 Add '-0.8333' to each side of the equation. 0.8333 + -0.8333 + 0.1667x = 1 + -0.8333 Combine like terms: 0.8333 + -0.8333 = 0.0000 0.0000 + 0.1667x = 1 + -0.8333 0.1667x = 1 + -0.8333 Combine like terms: 1 + -0.8333 = 0.1667 0.1667x = 0.1667 Divide each side by '0.1667'. x = 1 Simplifying x = 1
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