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Simplifying 5y + 6x + -81 = 7x + 102 + 65y Reorder the terms: -81 + 6x + 5y = 7x + 102 + 65y Reorder the terms: -81 + 6x + 5y = 102 + 7x + 65y Solving -81 + 6x + 5y = 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 + 6x + -7x + 5y = 102 + 7x + -7x + 65y Combine like terms: 6x + -7x = -1x -81 + -1x + 5y = 102 + 7x + -7x + 65y Combine like terms: 7x + -7x = 0 -81 + -1x + 5y = 102 + 0 + 65y -81 + -1x + 5y = 102 + 65y Add '81' to each side of the equation. -81 + -1x + 81 + 5y = 102 + 81 + 65y Reorder the terms: -81 + 81 + -1x + 5y = 102 + 81 + 65y Combine like terms: -81 + 81 = 0 0 + -1x + 5y = 102 + 81 + 65y -1x + 5y = 102 + 81 + 65y Combine like terms: 102 + 81 = 183 -1x + 5y = 183 + 65y Add '-5y' to each side of the equation. -1x + 5y + -5y = 183 + 65y + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 183 + 65y + -5y -1x = 183 + 65y + -5y Combine like terms: 65y + -5y = 60y -1x = 183 + 60y Divide each side by '-1'. x = -183 + -60y Simplifying x = -183 + -60y
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