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Simplifying 3x + 2y + 4x + -3y + -1(-7x + 2y) = 0 3x + 2y + 4x + -3y + (-7x * -1 + 2y * -1) = 0 3x + 2y + 4x + -3y + (7x + -2y) = 0 Reorder the terms: 3x + 4x + 7x + 2y + -3y + -2y = 0 Combine like terms: 3x + 4x = 7x 7x + 7x + 2y + -3y + -2y = 0 Combine like terms: 7x + 7x = 14x 14x + 2y + -3y + -2y = 0 Combine like terms: 2y + -3y = -1y 14x + -1y + -2y = 0 Combine like terms: -1y + -2y = -3y 14x + -3y = 0 Solving 14x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 14x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 14x + 0 = 0 + 3y 14x = 0 + 3y Remove the zero: 14x = 3y Divide each side by '14'. x = 0.2142857143y Simplifying x = 0.2142857143y
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