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Simplifying 5X + -8Y = 12Y + X + -6 Reorder the terms: 5X + -8Y = -6 + X + 12Y Solving 5X + -8Y = -6 + X + 12Y 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. 5X + -1X + -8Y = -6 + X + -1X + 12Y Combine like terms: 5X + -1X = 4X 4X + -8Y = -6 + X + -1X + 12Y Combine like terms: X + -1X = 0 4X + -8Y = -6 + 0 + 12Y 4X + -8Y = -6 + 12Y Add '8Y' to each side of the equation. 4X + -8Y + 8Y = -6 + 12Y + 8Y Combine like terms: -8Y + 8Y = 0 4X + 0 = -6 + 12Y + 8Y 4X = -6 + 12Y + 8Y Combine like terms: 12Y + 8Y = 20Y 4X = -6 + 20Y Divide each side by '4'. X = -1.5 + 5Y Simplifying X = -1.5 + 5Y
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