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Simplifying 5x + -10y + -7x + 12y = 0 Reorder the terms: 5x + -7x + -10y + 12y = 0 Combine like terms: 5x + -7x = -2x -2x + -10y + 12y = 0 Combine like terms: -10y + 12y = 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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