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Simplifying 5x + 5y = 9x + -6y Solving 5x + 5y = 9x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5x + -9x + 5y = 9x + -9x + -6y Combine like terms: 5x + -9x = -4x -4x + 5y = 9x + -9x + -6y Combine like terms: 9x + -9x = 0 -4x + 5y = 0 + -6y -4x + 5y = -6y Add '-5y' to each side of the equation. -4x + 5y + -5y = -6y + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = -6y + -5y -4x = -6y + -5y Combine like terms: -6y + -5y = -11y -4x = -11y Divide each side by '-4'. x = 2.75y Simplifying x = 2.75y
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