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Simplifying 4x + 7y + 3x + -2y + 6 = 0 Reorder the terms: 6 + 4x + 3x + 7y + -2y = 0 Combine like terms: 4x + 3x = 7x 6 + 7x + 7y + -2y = 0 Combine like terms: 7y + -2y = 5y 6 + 7x + 5y = 0 Solving 6 + 7x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + -6 + 5y = 0 + -6 Reorder the terms: 6 + -6 + 7x + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + 5y = 0 + -6 7x + 5y = 0 + -6 Combine like terms: 0 + -6 = -6 7x + 5y = -6 Add '-5y' to each side of the equation. 7x + 5y + -5y = -6 + -5y Combine like terms: 5y + -5y = 0 7x + 0 = -6 + -5y 7x = -6 + -5y Divide each side by '7'. x = -0.8571428571 + -0.7142857143y Simplifying x = -0.8571428571 + -0.7142857143y
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