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Simplifying 6x + 7y = 4x + y Solving 6x + 7y = 4x + y 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 + 7y = 4x + -4x + y Combine like terms: 6x + -4x = 2x 2x + 7y = 4x + -4x + y Combine like terms: 4x + -4x = 0 2x + 7y = 0 + y 2x + 7y = y Add '-7y' to each side of the equation. 2x + 7y + -7y = y + -7y Combine like terms: 7y + -7y = 0 2x + 0 = y + -7y 2x = y + -7y Combine like terms: y + -7y = -6y 2x = -6y Divide each side by '2'. x = -3y Simplifying x = -3y
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