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Simplifying 3x + 8y + -81 = 5x + -6y + 39 Reorder the terms: -81 + 3x + 8y = 5x + -6y + 39 Reorder the terms: -81 + 3x + 8y = 39 + 5x + -6y Solving -81 + 3x + 8y = 39 + 5x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -81 + 3x + -5x + 8y = 39 + 5x + -5x + -6y Combine like terms: 3x + -5x = -2x -81 + -2x + 8y = 39 + 5x + -5x + -6y Combine like terms: 5x + -5x = 0 -81 + -2x + 8y = 39 + 0 + -6y -81 + -2x + 8y = 39 + -6y Add '81' to each side of the equation. -81 + -2x + 81 + 8y = 39 + 81 + -6y Reorder the terms: -81 + 81 + -2x + 8y = 39 + 81 + -6y Combine like terms: -81 + 81 = 0 0 + -2x + 8y = 39 + 81 + -6y -2x + 8y = 39 + 81 + -6y Combine like terms: 39 + 81 = 120 -2x + 8y = 120 + -6y Add '-8y' to each side of the equation. -2x + 8y + -8y = 120 + -6y + -8y Combine like terms: 8y + -8y = 0 -2x + 0 = 120 + -6y + -8y -2x = 120 + -6y + -8y Combine like terms: -6y + -8y = -14y -2x = 120 + -14y Divide each side by '-2'. x = -60 + 7y Simplifying x = -60 + 7y
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