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Simplifying 2y + -3x + 6 = 3y + 3x + -6 Reorder the terms: 6 + -3x + 2y = 3y + 3x + -6 Reorder the terms: 6 + -3x + 2y = -6 + 3x + 3y Solving 6 + -3x + 2y = -6 + 3x + 3y 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. 6 + -3x + -3x + 2y = -6 + 3x + -3x + 3y Combine like terms: -3x + -3x = -6x 6 + -6x + 2y = -6 + 3x + -3x + 3y Combine like terms: 3x + -3x = 0 6 + -6x + 2y = -6 + 0 + 3y 6 + -6x + 2y = -6 + 3y Add '-6' to each side of the equation. 6 + -6x + -6 + 2y = -6 + -6 + 3y Reorder the terms: 6 + -6 + -6x + 2y = -6 + -6 + 3y Combine like terms: 6 + -6 = 0 0 + -6x + 2y = -6 + -6 + 3y -6x + 2y = -6 + -6 + 3y Combine like terms: -6 + -6 = -12 -6x + 2y = -12 + 3y Add '-2y' to each side of the equation. -6x + 2y + -2y = -12 + 3y + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = -12 + 3y + -2y -6x = -12 + 3y + -2y Combine like terms: 3y + -2y = 1y -6x = -12 + 1y Divide each side by '-6'. x = 2 + -0.1666666667y Simplifying x = 2 + -0.1666666667y
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