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Simplifying 7x + -4y + -2(4x + -3y) = 0 7x + -4y + (4x * -2 + -3y * -2) = 0 7x + -4y + (-8x + 6y) = 0 Reorder the terms: 7x + -8x + -4y + 6y = 0 Combine like terms: 7x + -8x = -1x -1x + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y -1x + 2y = 0 Solving -1x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2y
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