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Simplifying 6(X + -1) = 3(X + -2) + 6 Reorder the terms: 6(-1 + X) = 3(X + -2) + 6 (-1 * 6 + X * 6) = 3(X + -2) + 6 (-6 + 6X) = 3(X + -2) + 6 Reorder the terms: -6 + 6X = 3(-2 + X) + 6 -6 + 6X = (-2 * 3 + X * 3) + 6 -6 + 6X = (-6 + 3X) + 6 Reorder the terms: -6 + 6X = -6 + 6 + 3X Combine like terms: -6 + 6 = 0 -6 + 6X = 0 + 3X -6 + 6X = 3X Solving -6 + 6X = 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. -6 + 6X + -3X = 3X + -3X Combine like terms: 6X + -3X = 3X -6 + 3X = 3X + -3X Combine like terms: 3X + -3X = 0 -6 + 3X = 0 Add '6' to each side of the equation. -6 + 6 + 3X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3X = 0 + 6 3X = 0 + 6 Combine like terms: 0 + 6 = 6 3X = 6 Divide each side by '3'. X = 2 Simplifying X = 2
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