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Simplifying 17x + -1y = 12x + 4y Solving 17x + -1y = 12x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17x + -12x + -1y = 12x + -12x + 4y Combine like terms: 17x + -12x = 5x 5x + -1y = 12x + -12x + 4y Combine like terms: 12x + -12x = 0 5x + -1y = 0 + 4y 5x + -1y = 4y Add 'y' to each side of the equation. 5x + -1y + y = 4y + y Combine like terms: -1y + y = 0 5x + 0 = 4y + y 5x = 4y + y Combine like terms: 4y + y = 5y 5x = 5y Divide each side by '5'. x = y Simplifying x = y
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