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Simplifying (6x + 7y) + -1(12x + -4y) = 0 Remove parenthesis around (6x + 7y) 6x + 7y + -1(12x + -4y) = 0 6x + 7y + (12x * -1 + -4y * -1) = 0 6x + 7y + (-12x + 4y) = 0 Reorder the terms: 6x + -12x + 7y + 4y = 0 Combine like terms: 6x + -12x = -6x -6x + 7y + 4y = 0 Combine like terms: 7y + 4y = 11y -6x + 11y = 0 Solving -6x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. -6x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -6x + 0 = 0 + -11y -6x = 0 + -11y Remove the zero: -6x = -11y Divide each side by '-6'. x = 1.833333333y Simplifying x = 1.833333333y
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