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Simplifying 0.6667(x + -4) = 0.3333(2x + -6) Reorder the terms: 0.6667(-4 + x) = 0.3333(2x + -6) (-4 * 0.6667 + x * 0.6667) = 0.3333(2x + -6) (-2.6668 + 0.6667x) = 0.3333(2x + -6) Reorder the terms: -2.6668 + 0.6667x = 0.3333(-6 + 2x) -2.6668 + 0.6667x = (-6 * 0.3333 + 2x * 0.3333) -2.6668 + 0.6667x = (-1.9998 + 0.6666x) Solving -2.6668 + 0.6667x = -1.9998 + 0.6666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666x' to each side of the equation. -2.6668 + 0.6667x + -0.6666x = -1.9998 + 0.6666x + -0.6666x Combine like terms: 0.6667x + -0.6666x = 0.0001x -2.6668 + 0.0001x = -1.9998 + 0.6666x + -0.6666x Combine like terms: 0.6666x + -0.6666x = 0.0000 -2.6668 + 0.0001x = -1.9998 + 0.0000 -2.6668 + 0.0001x = -1.9998 Add '2.6668' to each side of the equation. -2.6668 + 2.6668 + 0.0001x = -1.9998 + 2.6668 Combine like terms: -2.6668 + 2.6668 = 0.0000 0.0000 + 0.0001x = -1.9998 + 2.6668 0.0001x = -1.9998 + 2.6668 Combine like terms: -1.9998 + 2.6668 = 0.667 0.0001x = 0.667 Divide each side by '0.0001'. x = 6670 Simplifying x = 6670
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