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Simplifying 3x + 4y + -1(-6x + -3y) = 0 3x + 4y + (-6x * -1 + -3y * -1) = 0 3x + 4y + (6x + 3y) = 0 Reorder the terms: 3x + 6x + 4y + 3y = 0 Combine like terms: 3x + 6x = 9x 9x + 4y + 3y = 0 Combine like terms: 4y + 3y = 7y 9x + 7y = 0 Solving 9x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 9x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 9x + 0 = 0 + -7y 9x = 0 + -7y Remove the zero: 9x = -7y Divide each side by '9'. x = -0.7777777778y Simplifying x = -0.7777777778y
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