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Simplifying 5x + 6y + -6 = 6x + 5y Reorder the terms: -6 + 5x + 6y = 6x + 5y Solving -6 + 5x + 6y = 6x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x + 6y = 6x + -6x + 5y Combine like terms: 5x + -6x = -1x -6 + -1x + 6y = 6x + -6x + 5y Combine like terms: 6x + -6x = 0 -6 + -1x + 6y = 0 + 5y -6 + -1x + 6y = 5y Add '6' to each side of the equation. -6 + -1x + 6 + 6y = 6 + 5y Reorder the terms: -6 + 6 + -1x + 6y = 6 + 5y Combine like terms: -6 + 6 = 0 0 + -1x + 6y = 6 + 5y -1x + 6y = 6 + 5y Add '-6y' to each side of the equation. -1x + 6y + -6y = 6 + 5y + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = 6 + 5y + -6y -1x = 6 + 5y + -6y Combine like terms: 5y + -6y = -1y -1x = 6 + -1y Divide each side by '-1'. x = -6 + y Simplifying x = -6 + y
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