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Simplifying (12x + -3y) + -1(3y + 10x) = 0 Remove parenthesis around (12x + -3y) 12x + -3y + -1(3y + 10x) = 0 Reorder the terms: 12x + -3y + -1(10x + 3y) = 0 12x + -3y + (10x * -1 + 3y * -1) = 0 12x + -3y + (-10x + -3y) = 0 Reorder the terms: 12x + -10x + -3y + -3y = 0 Combine like terms: 12x + -10x = 2x 2x + -3y + -3y = 0 Combine like terms: -3y + -3y = -6y 2x + -6y = 0 Solving 2x + -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. 2x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 2x + 0 = 0 + 6y 2x = 0 + 6y Remove the zero: 2x = 6y Divide each side by '2'. x = 3y Simplifying x = 3y
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