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Simplifying 3(X + -12) + 2 = X + 6 Reorder the terms: 3(-12 + X) + 2 = X + 6 (-12 * 3 + X * 3) + 2 = X + 6 (-36 + 3X) + 2 = X + 6 Reorder the terms: -36 + 2 + 3X = X + 6 Combine like terms: -36 + 2 = -34 -34 + 3X = X + 6 Reorder the terms: -34 + 3X = 6 + X Solving -34 + 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. -34 + 3X + -1X = 6 + X + -1X Combine like terms: 3X + -1X = 2X -34 + 2X = 6 + X + -1X Combine like terms: X + -1X = 0 -34 + 2X = 6 + 0 -34 + 2X = 6 Add '34' to each side of the equation. -34 + 34 + 2X = 6 + 34 Combine like terms: -34 + 34 = 0 0 + 2X = 6 + 34 2X = 6 + 34 Combine like terms: 6 + 34 = 40 2X = 40 Divide each side by '2'. X = 20 Simplifying X = 20
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