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Simplifying 6x + -2y = 4x + -5y Solving 6x + -2y = 4x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x + -2y = 4x + -4x + -5y Combine like terms: 6x + -4x = 2x 2x + -2y = 4x + -4x + -5y Combine like terms: 4x + -4x = 0 2x + -2y = 0 + -5y 2x + -2y = -5y Add '2y' to each side of the equation. 2x + -2y + 2y = -5y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = -5y + 2y 2x = -5y + 2y Combine like terms: -5y + 2y = -3y 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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