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Simplifying 5x + -6y + 3x + -2y = 0 Reorder the terms: 5x + 3x + -6y + -2y = 0 Combine like terms: 5x + 3x = 8x 8x + -6y + -2y = 0 Combine like terms: -6y + -2y = -8y 8x + -8y = 0 Solving 8x + -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. 8x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 8x + 0 = 0 + 8y 8x = 0 + 8y Remove the zero: 8x = 8y Divide each side by '8'. x = y Simplifying x = y
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