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Simplifying -6(5 + -1X) + 6 = 3(X + -2) (5 * -6 + -1X * -6) + 6 = 3(X + -2) (-30 + 6X) + 6 = 3(X + -2) Reorder the terms: -30 + 6 + 6X = 3(X + -2) Combine like terms: -30 + 6 = -24 -24 + 6X = 3(X + -2) Reorder the terms: -24 + 6X = 3(-2 + X) -24 + 6X = (-2 * 3 + X * 3) -24 + 6X = (-6 + 3X) Solving -24 + 6X = -6 + 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. -24 + 6X + -3X = -6 + 3X + -3X Combine like terms: 6X + -3X = 3X -24 + 3X = -6 + 3X + -3X Combine like terms: 3X + -3X = 0 -24 + 3X = -6 + 0 -24 + 3X = -6 Add '24' to each side of the equation. -24 + 24 + 3X = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 3X = -6 + 24 3X = -6 + 24 Combine like terms: -6 + 24 = 18 3X = 18 Divide each side by '3'. X = 6 Simplifying X = 6
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