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Simplifying 2x + -6 + 3y = 9x + 2(x + -1y) + -2x + 6 Reorder the terms: -6 + 2x + 3y = 9x + 2(x + -1y) + -2x + 6 -6 + 2x + 3y = 9x + (x * 2 + -1y * 2) + -2x + 6 -6 + 2x + 3y = 9x + (2x + -2y) + -2x + 6 Reorder the terms: -6 + 2x + 3y = 6 + 9x + 2x + -2x + -2y Combine like terms: 9x + 2x = 11x -6 + 2x + 3y = 6 + 11x + -2x + -2y Combine like terms: 11x + -2x = 9x -6 + 2x + 3y = 6 + 9x + -2y Solving -6 + 2x + 3y = 6 + 9x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 2x + -9x + 3y = 6 + 9x + -9x + -2y Combine like terms: 2x + -9x = -7x -6 + -7x + 3y = 6 + 9x + -9x + -2y Combine like terms: 9x + -9x = 0 -6 + -7x + 3y = 6 + 0 + -2y -6 + -7x + 3y = 6 + -2y Add '6' to each side of the equation. -6 + -7x + 6 + 3y = 6 + 6 + -2y Reorder the terms: -6 + 6 + -7x + 3y = 6 + 6 + -2y Combine like terms: -6 + 6 = 0 0 + -7x + 3y = 6 + 6 + -2y -7x + 3y = 6 + 6 + -2y Combine like terms: 6 + 6 = 12 -7x + 3y = 12 + -2y Add '-3y' to each side of the equation. -7x + 3y + -3y = 12 + -2y + -3y Combine like terms: 3y + -3y = 0 -7x + 0 = 12 + -2y + -3y -7x = 12 + -2y + -3y Combine like terms: -2y + -3y = -5y -7x = 12 + -5y Divide each side by '-7'. x = -1.714285714 + 0.7142857143y Simplifying x = -1.714285714 + 0.7142857143y
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