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Simplifying 2y + x = 3x + -1y + -6 Reorder the terms: x + 2y = 3x + -1y + -6 Reorder the terms: x + 2y = -6 + 3x + -1y Solving x + 2y = -6 + 3x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. x + -3x + 2y = -6 + 3x + -3x + -1y Combine like terms: x + -3x = -2x -2x + 2y = -6 + 3x + -3x + -1y Combine like terms: 3x + -3x = 0 -2x + 2y = -6 + 0 + -1y -2x + 2y = -6 + -1y Add '-2y' to each side of the equation. -2x + 2y + -2y = -6 + -1y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -6 + -1y + -2y -2x = -6 + -1y + -2y Combine like terms: -1y + -2y = -3y -2x = -6 + -3y Divide each side by '-2'. x = 3 + 1.5y Simplifying x = 3 + 1.5y
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