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Simplifying (7x + -2y) + -1(-2x + 4y) = 0 Remove parenthesis around (7x + -2y) 7x + -2y + -1(-2x + 4y) = 0 7x + -2y + (-2x * -1 + 4y * -1) = 0 7x + -2y + (2x + -4y) = 0 Reorder the terms: 7x + 2x + -2y + -4y = 0 Combine like terms: 7x + 2x = 9x 9x + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y 9x + -6y = 0 Solving 9x + -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. 9x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 9x + 0 = 0 + 6y 9x = 0 + 6y Remove the zero: 9x = 6y Divide each side by '9'. x = 0.6666666667y Simplifying x = 0.6666666667y
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