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Simplifying 3(X + -2) + 2(x + 4) = 0 Reorder the terms: 3(-2 + X) + 2(x + 4) = 0 (-2 * 3 + X * 3) + 2(x + 4) = 0 (-6 + 3X) + 2(x + 4) = 0 Reorder the terms: -6 + 3X + 2(4 + x) = 0 -6 + 3X + (4 * 2 + x * 2) = 0 -6 + 3X + (8 + 2x) = 0 Reorder the terms: -6 + 8 + 3X + 2x = 0 Combine like terms: -6 + 8 = 2 2 + 3X + 2x = 0 Solving 2 + 3X + 2x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3X + -2 + 2x = 0 + -2 Reorder the terms: 2 + -2 + 3X + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3X + 2x = 0 + -2 3X + 2x = 0 + -2 Combine like terms: 0 + -2 = -2 3X + 2x = -2 Add '-2x' to each side of the equation. 3X + 2x + -2x = -2 + -2x Combine like terms: 2x + -2x = 0 3X + 0 = -2 + -2x 3X = -2 + -2x Divide each side by '3'. X = -0.6666666667 + -0.6666666667x Simplifying X = -0.6666666667 + -0.6666666667x
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