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Simplifying 2(4x + y) + -3(3x + -2y) = 0 (4x * 2 + y * 2) + -3(3x + -2y) = 0 (8x + 2y) + -3(3x + -2y) = 0 8x + 2y + (3x * -3 + -2y * -3) = 0 8x + 2y + (-9x + 6y) = 0 Reorder the terms: 8x + -9x + 2y + 6y = 0 Combine like terms: 8x + -9x = -1x -1x + 2y + 6y = 0 Combine like terms: 2y + 6y = 8y -1x + 8y = 0 Solving -1x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -1x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -1x + 0 = 0 + -8y -1x = 0 + -8y Remove the zero: -1x = -8y Divide each side by '-1'. x = 8y Simplifying x = 8y
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