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Simplifying 5X + 6Y + -81 = 7X + 102 + 65Y Reorder the terms: -81 + 5X + 6Y = 7X + 102 + 65Y Reorder the terms: -81 + 5X + 6Y = 102 + 7X + 65Y Solving -81 + 5X + 6Y = 102 + 7X + 65Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -81 + 5X + -7X + 6Y = 102 + 7X + -7X + 65Y Combine like terms: 5X + -7X = -2X -81 + -2X + 6Y = 102 + 7X + -7X + 65Y Combine like terms: 7X + -7X = 0 -81 + -2X + 6Y = 102 + 0 + 65Y -81 + -2X + 6Y = 102 + 65Y Add '81' to each side of the equation. -81 + -2X + 81 + 6Y = 102 + 81 + 65Y Reorder the terms: -81 + 81 + -2X + 6Y = 102 + 81 + 65Y Combine like terms: -81 + 81 = 0 0 + -2X + 6Y = 102 + 81 + 65Y -2X + 6Y = 102 + 81 + 65Y Combine like terms: 102 + 81 = 183 -2X + 6Y = 183 + 65Y Add '-6Y' to each side of the equation. -2X + 6Y + -6Y = 183 + 65Y + -6Y Combine like terms: 6Y + -6Y = 0 -2X + 0 = 183 + 65Y + -6Y -2X = 183 + 65Y + -6Y Combine like terms: 65Y + -6Y = 59Y -2X = 183 + 59Y Divide each side by '-2'. X = -91.5 + -29.5Y Simplifying X = -91.5 + -29.5Y
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