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Simplifying 10x + 5y + -7y + -8x = 0 Reorder the terms: 10x + -8x + 5y + -7y = 0 Combine like terms: 10x + -8x = 2x 2x + 5y + -7y = 0 Combine like terms: 5y + -7y = -2y 2x + -2y = 0 Solving 2x + -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. 2x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 0 + 2y 2x = 0 + 2y Remove the zero: 2x = 2y Divide each side by '2'. x = y Simplifying x = y
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