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Simplifying 2y + x = 7x + -1y + 12 Reorder the terms: x + 2y = 7x + -1y + 12 Reorder the terms: x + 2y = 12 + 7x + -1y Solving x + 2y = 12 + 7x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. x + -7x + 2y = 12 + 7x + -7x + -1y Combine like terms: x + -7x = -6x -6x + 2y = 12 + 7x + -7x + -1y Combine like terms: 7x + -7x = 0 -6x + 2y = 12 + 0 + -1y -6x + 2y = 12 + -1y Add '-2y' to each side of the equation. -6x + 2y + -2y = 12 + -1y + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = 12 + -1y + -2y -6x = 12 + -1y + -2y Combine like terms: -1y + -2y = -3y -6x = 12 + -3y Divide each side by '-6'. x = -2 + 0.5y Simplifying x = -2 + 0.5y
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