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Simplifying 10x + y = 12x + -1y Solving 10x + y = 12x + -1y 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. 10x + -12x + y = 12x + -12x + -1y Combine like terms: 10x + -12x = -2x -2x + y = 12x + -12x + -1y Combine like terms: 12x + -12x = 0 -2x + y = 0 + -1y -2x + y = -1y Add '-1y' to each side of the equation. -2x + y + -1y = -1y + -1y Combine like terms: y + -1y = 0 -2x + 0 = -1y + -1y -2x = -1y + -1y Combine like terms: -1y + -1y = -2y -2x = -2y Divide each side by '-2'. x = y Simplifying x = y
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