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Simplifying 6X + -2Y + -5X + -2Y + 1 = 3X + -2Y + -1 Reorder the terms: 1 + 6X + -5X + -2Y + -2Y = 3X + -2Y + -1 Combine like terms: 6X + -5X = 1X 1 + 1X + -2Y + -2Y = 3X + -2Y + -1 Combine like terms: -2Y + -2Y = -4Y 1 + 1X + -4Y = 3X + -2Y + -1 Reorder the terms: 1 + 1X + -4Y = -1 + 3X + -2Y Solving 1 + 1X + -4Y = -1 + 3X + -2Y 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. 1 + 1X + -3X + -4Y = -1 + 3X + -3X + -2Y Combine like terms: 1X + -3X = -2X 1 + -2X + -4Y = -1 + 3X + -3X + -2Y Combine like terms: 3X + -3X = 0 1 + -2X + -4Y = -1 + 0 + -2Y 1 + -2X + -4Y = -1 + -2Y Add '-1' to each side of the equation. 1 + -2X + -1 + -4Y = -1 + -1 + -2Y Reorder the terms: 1 + -1 + -2X + -4Y = -1 + -1 + -2Y Combine like terms: 1 + -1 = 0 0 + -2X + -4Y = -1 + -1 + -2Y -2X + -4Y = -1 + -1 + -2Y Combine like terms: -1 + -1 = -2 -2X + -4Y = -2 + -2Y Add '4Y' to each side of the equation. -2X + -4Y + 4Y = -2 + -2Y + 4Y Combine like terms: -4Y + 4Y = 0 -2X + 0 = -2 + -2Y + 4Y -2X = -2 + -2Y + 4Y Combine like terms: -2Y + 4Y = 2Y -2X = -2 + 2Y Divide each side by '-2'. X = 1 + -1Y Simplifying X = 1 + -1Y
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