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Simplifying 5Y + 6X + -81 = 7X + 102 + 65x Reorder the terms: -81 + 6X + 5Y = 7X + 102 + 65x Reorder the terms: -81 + 6X + 5Y = 102 + 7X + 65x Solving -81 + 6X + 5Y = 102 + 7X + 65x 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 + 6X + -7X + 5Y = 102 + 7X + -7X + 65x Combine like terms: 6X + -7X = -1X -81 + -1X + 5Y = 102 + 7X + -7X + 65x Combine like terms: 7X + -7X = 0 -81 + -1X + 5Y = 102 + 0 + 65x -81 + -1X + 5Y = 102 + 65x Add '81' to each side of the equation. -81 + -1X + 81 + 5Y = 102 + 81 + 65x Reorder the terms: -81 + 81 + -1X + 5Y = 102 + 81 + 65x Combine like terms: -81 + 81 = 0 0 + -1X + 5Y = 102 + 81 + 65x -1X + 5Y = 102 + 81 + 65x Combine like terms: 102 + 81 = 183 -1X + 5Y = 183 + 65x Add '-5Y' to each side of the equation. -1X + 5Y + -5Y = 183 + -5Y + 65x Combine like terms: 5Y + -5Y = 0 -1X + 0 = 183 + -5Y + 65x -1X = 183 + -5Y + 65x Divide each side by '-1'. X = -183 + 5Y + -65x Simplifying X = -183 + 5Y + -65x
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