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Simplifying -0.666(X + 2) = 0.166(X + 6) Reorder the terms: -0.666(2 + X) = 0.166(X + 6) (2 * -0.666 + X * -0.666) = 0.166(X + 6) (-1.332 + -0.666X) = 0.166(X + 6) Reorder the terms: -1.332 + -0.666X = 0.166(6 + X) -1.332 + -0.666X = (6 * 0.166 + X * 0.166) -1.332 + -0.666X = (0.996 + 0.166X) Solving -1.332 + -0.666X = 0.996 + 0.166X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.166X' to each side of the equation. -1.332 + -0.666X + -0.166X = 0.996 + 0.166X + -0.166X Combine like terms: -0.666X + -0.166X = -0.832X -1.332 + -0.832X = 0.996 + 0.166X + -0.166X Combine like terms: 0.166X + -0.166X = 0.000 -1.332 + -0.832X = 0.996 + 0.000 -1.332 + -0.832X = 0.996 Add '1.332' to each side of the equation. -1.332 + 1.332 + -0.832X = 0.996 + 1.332 Combine like terms: -1.332 + 1.332 = 0.000 0.000 + -0.832X = 0.996 + 1.332 -0.832X = 0.996 + 1.332 Combine like terms: 0.996 + 1.332 = 2.328 -0.832X = 2.328 Divide each side by '-0.832'. X = -2.798076923 Simplifying X = -2.798076923
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