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Simplifying 5x + 6y = 7x + -5y Solving 5x + 6y = 7x + -5y 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. 5x + -7x + 6y = 7x + -7x + -5y Combine like terms: 5x + -7x = -2x -2x + 6y = 7x + -7x + -5y Combine like terms: 7x + -7x = 0 -2x + 6y = 0 + -5y -2x + 6y = -5y Add '-6y' to each side of the equation. -2x + 6y + -6y = -5y + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = -5y + -6y -2x = -5y + -6y Combine like terms: -5y + -6y = -11y -2x = -11y Divide each side by '-2'. x = 5.5y Simplifying x = 5.5y
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