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Simplifying (7x + -2y) + -1(4x + -9y) = 0 Remove parenthesis around (7x + -2y) 7x + -2y + -1(4x + -9y) = 0 7x + -2y + (4x * -1 + -9y * -1) = 0 7x + -2y + (-4x + 9y) = 0 Reorder the terms: 7x + -4x + -2y + 9y = 0 Combine like terms: 7x + -4x = 3x 3x + -2y + 9y = 0 Combine like terms: -2y + 9y = 7y 3x + 7y = 0 Solving 3x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 3x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 = 0 + -7y 3x = 0 + -7y Remove the zero: 3x = -7y Divide each side by '3'. x = -2.333333333y Simplifying x = -2.333333333y
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