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Simplifying 3(x + 4y) + -2(x + 3y) = 0 (x * 3 + 4y * 3) + -2(x + 3y) = 0 (3x + 12y) + -2(x + 3y) = 0 3x + 12y + (x * -2 + 3y * -2) = 0 3x + 12y + (-2x + -6y) = 0 Reorder the terms: 3x + -2x + 12y + -6y = 0 Combine like terms: 3x + -2x = 1x 1x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 1x + 6y = 0 Solving 1x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 1x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 1x + 0 = 0 + -6y 1x = 0 + -6y Remove the zero: 1x = -6y Divide each side by '1'. x = -6y Simplifying x = -6y
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