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Simplifying -1(4x + -6y) + -1[(9x + 4y) + -1(7x + 7y)] = 0 (4x * -1 + -6y * -1) + -1[(9x + 4y) + -1(7x + 7y)] = 0 (-4x + 6y) + -1[(9x + 4y) + -1(7x + 7y)] = 0 Remove parenthesis around (9x + 4y) -4x + 6y + -1[9x + 4y + -1(7x + 7y)] = 0 -4x + 6y + -1[9x + 4y + (7x * -1 + 7y * -1)] = 0 -4x + 6y + -1[9x + 4y + (-7x + -7y)] = 0 Reorder the terms: -4x + 6y + -1[9x + -7x + 4y + -7y] = 0 Combine like terms: 9x + -7x = 2x -4x + 6y + -1[2x + 4y + -7y] = 0 Combine like terms: 4y + -7y = -3y -4x + 6y + -1[2x + -3y] = 0 -4x + 6y + [2x * -1 + -3y * -1] = 0 -4x + 6y + [-2x + 3y] = 0 Reorder the terms: -4x + -2x + 6y + 3y = 0 Combine like terms: -4x + -2x = -6x -6x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -6x + 9y = 0 Solving -6x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -6x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 -6x + 0 = 0 + -9y -6x = 0 + -9y Remove the zero: -6x = -9y Divide each side by '-6'. x = 1.5y Simplifying x = 1.5y
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