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Simplifying 3(4x + 3y) + (3x + 2y) = 0 (4x * 3 + 3y * 3) + (3x + 2y) = 0 (12x + 9y) + (3x + 2y) = 0 Remove parenthesis around (3x + 2y) 12x + 9y + 3x + 2y = 0 Reorder the terms: 12x + 3x + 9y + 2y = 0 Combine like terms: 12x + 3x = 15x 15x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y 15x + 11y = 0 Solving 15x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 15x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 15x + 0 = 0 + -11y 15x = 0 + -11y Remove the zero: 15x = -11y Divide each side by '15'. x = -0.7333333333y Simplifying x = -0.7333333333y
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