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Simplifying 3(3X + -6) + -4 = 3(X + -2) + 8 Reorder the terms: 3(-6 + 3X) + -4 = 3(X + -2) + 8 (-6 * 3 + 3X * 3) + -4 = 3(X + -2) + 8 (-18 + 9X) + -4 = 3(X + -2) + 8 Reorder the terms: -18 + -4 + 9X = 3(X + -2) + 8 Combine like terms: -18 + -4 = -22 -22 + 9X = 3(X + -2) + 8 Reorder the terms: -22 + 9X = 3(-2 + X) + 8 -22 + 9X = (-2 * 3 + X * 3) + 8 -22 + 9X = (-6 + 3X) + 8 Reorder the terms: -22 + 9X = -6 + 8 + 3X Combine like terms: -6 + 8 = 2 -22 + 9X = 2 + 3X Solving -22 + 9X = 2 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -22 + 9X + -3X = 2 + 3X + -3X Combine like terms: 9X + -3X = 6X -22 + 6X = 2 + 3X + -3X Combine like terms: 3X + -3X = 0 -22 + 6X = 2 + 0 -22 + 6X = 2 Add '22' to each side of the equation. -22 + 22 + 6X = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 6X = 2 + 22 6X = 2 + 22 Combine like terms: 2 + 22 = 24 6X = 24 Divide each side by '6'. X = 4 Simplifying X = 4
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