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Simplifying 5x + 7x + 6 = 3x + 2y Reorder the terms: 6 + 5x + 7x = 3x + 2y Combine like terms: 5x + 7x = 12x 6 + 12x = 3x + 2y Solving 6 + 12x = 3x + 2y 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 + 12x + -3x = 3x + -3x + 2y Combine like terms: 12x + -3x = 9x 6 + 9x = 3x + -3x + 2y Combine like terms: 3x + -3x = 0 6 + 9x = 0 + 2y 6 + 9x = 2y Add '-6' to each side of the equation. 6 + -6 + 9x = -6 + 2y Combine like terms: 6 + -6 = 0 0 + 9x = -6 + 2y 9x = -6 + 2y Divide each side by '9'. x = -0.6666666667 + 0.2222222222y Simplifying x = -0.6666666667 + 0.2222222222y
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