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Simplifying 4x + 7y + (-6x) + 9y = 0 Reorder the terms: 4x + (-6x) + 7y + 9y = 0 Combine like terms: 4x + (-6x) = -2x -2x + 7y + 9y = 0 Combine like terms: 7y + 9y = 16y -2x + 16y = 0 Solving -2x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -2x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 -2x + 0 = 0 + -16y -2x = 0 + -16y Remove the zero: -2x = -16y Divide each side by '-2'. x = 8y Simplifying x = 8y
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