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Simplifying (12x + 4y) + (39x + 32y) = 0 Remove parenthesis around (12x + 4y) 12x + 4y + (39x + 32y) = 0 Remove parenthesis around (39x + 32y) 12x + 4y + 39x + 32y = 0 Reorder the terms: 12x + 39x + 4y + 32y = 0 Combine like terms: 12x + 39x = 51x 51x + 4y + 32y = 0 Combine like terms: 4y + 32y = 36y 51x + 36y = 0 Solving 51x + 36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36y' to each side of the equation. 51x + 36y + -36y = 0 + -36y Combine like terms: 36y + -36y = 0 51x + 0 = 0 + -36y 51x = 0 + -36y Remove the zero: 51x = -36y Divide each side by '51'. x = -0.7058823529y Simplifying x = -0.7058823529y
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