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Simplifying 3(2x + y) + -2(x + y) + 3x = 0 (2x * 3 + y * 3) + -2(x + y) + 3x = 0 (6x + 3y) + -2(x + y) + 3x = 0 6x + 3y + (x * -2 + y * -2) + 3x = 0 6x + 3y + (-2x + -2y) + 3x = 0 Reorder the terms: 6x + -2x + 3x + 3y + -2y = 0 Combine like terms: 6x + -2x = 4x 4x + 3x + 3y + -2y = 0 Combine like terms: 4x + 3x = 7x 7x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 7x + 1y = 0 Solving 7x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429y
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