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Simplifying 3(X + -4) = 6 + X Reorder the terms: 3(-4 + X) = 6 + X (-4 * 3 + X * 3) = 6 + X (-12 + 3X) = 6 + X Solving -12 + 3X = 6 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -12 + 3X + -1X = 6 + X + -1X Combine like terms: 3X + -1X = 2X -12 + 2X = 6 + X + -1X Combine like terms: X + -1X = 0 -12 + 2X = 6 + 0 -12 + 2X = 6 Add '12' to each side of the equation. -12 + 12 + 2X = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2X = 6 + 12 2X = 6 + 12 Combine like terms: 6 + 12 = 18 2X = 18 Divide each side by '2'. X = 9 Simplifying X = 9
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