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Simplifying 0.1667x + 0.6667 = 0.25(x + -2) Reorder the terms: 0.6667 + 0.1667x = 0.25(x + -2) Reorder the terms: 0.6667 + 0.1667x = 0.25(-2 + x) 0.6667 + 0.1667x = (-2 * 0.25 + x * 0.25) 0.6667 + 0.1667x = (-0.5 + 0.25x) Solving 0.6667 + 0.1667x = -0.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 0.6667 + 0.1667x + -0.25x = -0.5 + 0.25x + -0.25x Combine like terms: 0.1667x + -0.25x = -0.0833x 0.6667 + -0.0833x = -0.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.6667 + -0.0833x = -0.5 + 0.00 0.6667 + -0.0833x = -0.5 Add '-0.6667' to each side of the equation. 0.6667 + -0.6667 + -0.0833x = -0.5 + -0.6667 Combine like terms: 0.6667 + -0.6667 = 0.0000 0.0000 + -0.0833x = -0.5 + -0.6667 -0.0833x = -0.5 + -0.6667 Combine like terms: -0.5 + -0.6667 = -1.1667 -0.0833x = -1.1667 Divide each side by '-0.0833'. x = 14.0060024 Simplifying x = 14.0060024
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