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Simplifying (6x + -2y) + -1(3x + -7y) = 0 Remove parenthesis around (6x + -2y) 6x + -2y + -1(3x + -7y) = 0 6x + -2y + (3x * -1 + -7y * -1) = 0 6x + -2y + (-3x + 7y) = 0 Reorder the terms: 6x + -3x + -2y + 7y = 0 Combine like terms: 6x + -3x = 3x 3x + -2y + 7y = 0 Combine like terms: -2y + 7y = 5y 3x + 5y = 0 Solving 3x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 0 + -5y 3x = 0 + -5y Remove the zero: 3x = -5y Divide each side by '3'. x = -1.666666667y Simplifying x = -1.666666667y
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