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Simplifying (12x + -3y) + -1(6x + 7y) = 0 Remove parenthesis around (12x + -3y) 12x + -3y + -1(6x + 7y) = 0 12x + -3y + (6x * -1 + 7y * -1) = 0 12x + -3y + (-6x + -7y) = 0 Reorder the terms: 12x + -6x + -3y + -7y = 0 Combine like terms: 12x + -6x = 6x 6x + -3y + -7y = 0 Combine like terms: -3y + -7y = -10y 6x + -10y = 0 Solving 6x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 6x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 6x + 0 = 0 + 10y 6x = 0 + 10y Remove the zero: 6x = 10y Divide each side by '6'. x = 1.666666667y Simplifying x = 1.666666667y
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