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Simplifying 4x + -5y = 6x + 2y Solving 4x + -5y = 6x + 2y 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. 4x + -6x + -5y = 6x + -6x + 2y Combine like terms: 4x + -6x = -2x -2x + -5y = 6x + -6x + 2y Combine like terms: 6x + -6x = 0 -2x + -5y = 0 + 2y -2x + -5y = 2y Add '5y' to each side of the equation. -2x + -5y + 5y = 2y + 5y Combine like terms: -5y + 5y = 0 -2x + 0 = 2y + 5y -2x = 2y + 5y Combine like terms: 2y + 5y = 7y -2x = 7y Divide each side by '-2'. x = -3.5y Simplifying x = -3.5y
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