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Simplifying 4x + (-8y) + (-14x) + 13y = 0 Reorder the terms: 4x + (-14x) + (-8y) + 13y = 0 Combine like terms: 4x + (-14x) = -10x -10x + (-8y) + 13y = 0 Combine like terms: (-8y) + 13y = 5y -10x + 5y = 0 Solving -10x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -10x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -10x + 0 = 0 + -5y -10x = 0 + -5y Remove the zero: -10x = -5y Divide each side by '-10'. x = 0.5y Simplifying x = 0.5y
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