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Simplifying 12 + 6X + 4 + -20 + -6X + 30X + -1 + 6 + -3 + 8 + -4X = 23X + (2X + -1X) + 4 Reorder the terms: 12 + 4 + -20 + -1 + 6 + -3 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: 12 + 4 = 16 16 + -20 + -1 + 6 + -3 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: 16 + -20 = -4 -4 + -1 + 6 + -3 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: -4 + -1 = -5 -5 + 6 + -3 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: -5 + 6 = 1 1 + -3 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: 1 + -3 = -2 -2 + 8 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: -2 + 8 = 6 6 + 6X + -6X + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: 6X + -6X = 0 6 + 0 + 30X + -4X = 23X + (2X + -1X) + 4 6 + 30X + -4X = 23X + (2X + -1X) + 4 Combine like terms: 30X + -4X = 26X 6 + 26X = 23X + (2X + -1X) + 4 Combine like terms: 2X + -1X = 1X 6 + 26X = 23X + (1X) + 4 6 + 26X = 23X + (1X) + 4 Reorder the terms: 6 + 26X = 4 + 23X + (1X) Combine like terms: 23X + (1X) = 24X 6 + 26X = 4 + 24X Solving 6 + 26X = 4 + 24X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24X' to each side of the equation. 6 + 26X + -24X = 4 + 24X + -24X Combine like terms: 26X + -24X = 2X 6 + 2X = 4 + 24X + -24X Combine like terms: 24X + -24X = 0 6 + 2X = 4 + 0 6 + 2X = 4 Add '-6' to each side of the equation. 6 + -6 + 2X = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2X = 4 + -6 2X = 4 + -6 Combine like terms: 4 + -6 = -2 2X = -2 Divide each side by '2'. X = -1 Simplifying X = -1
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