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Simplifying 4(4x + 3y) + 3(3x + -2y) = 0 (4x * 4 + 3y * 4) + 3(3x + -2y) = 0 (16x + 12y) + 3(3x + -2y) = 0 16x + 12y + (3x * 3 + -2y * 3) = 0 16x + 12y + (9x + -6y) = 0 Reorder the terms: 16x + 9x + 12y + -6y = 0 Combine like terms: 16x + 9x = 25x 25x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 25x + 6y = 0 Solving 25x + 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. 25x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 25x + 0 = 0 + -6y 25x = 0 + -6y Remove the zero: 25x = -6y Divide each side by '25'. x = -0.24y Simplifying x = -0.24y
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