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Simplifying -7x + 14 + -2x + -11 = 12x + 9 Reorder the terms: 14 + -11 + -7x + -2x = 12x + 9 Combine like terms: 14 + -11 = 3 3 + -7x + -2x = 12x + 9 Combine like terms: -7x + -2x = -9x 3 + -9x = 12x + 9 Reorder the terms: 3 + -9x = 9 + 12x Solving 3 + -9x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -9x + -12x = 9 + 12x + -12x Combine like terms: -9x + -12x = -21x 3 + -21x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -21x = 9 + 0 3 + -21x = 9 Add '-3' to each side of the equation. 3 + -3 + -21x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -21x = 9 + -3 -21x = 9 + -3 Combine like terms: 9 + -3 = 6 -21x = 6 Divide each side by '-21'. x = -0.2857142857 Simplifying x = -0.2857142857
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