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Simplifying (12x + -5y) + -1(6x + 7y) = 0 Remove parenthesis around (12x + -5y) 12x + -5y + -1(6x + 7y) = 0 12x + -5y + (6x * -1 + 7y * -1) = 0 12x + -5y + (-6x + -7y) = 0 Reorder the terms: 12x + -6x + -5y + -7y = 0 Combine like terms: 12x + -6x = 6x 6x + -5y + -7y = 0 Combine like terms: -5y + -7y = -12y 6x + -12y = 0 Solving 6x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 6x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 6x + 0 = 0 + 12y 6x = 0 + 12y Remove the zero: 6x = 12y Divide each side by '6'. x = 2y Simplifying x = 2y
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