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Simplifying -13 + 2x + -14 + 3x = 3 + -4x + -6 + -3x Reorder the terms: -13 + -14 + 2x + 3x = 3 + -4x + -6 + -3x Combine like terms: -13 + -14 = -27 -27 + 2x + 3x = 3 + -4x + -6 + -3x Combine like terms: 2x + 3x = 5x -27 + 5x = 3 + -4x + -6 + -3x Reorder the terms: -27 + 5x = 3 + -6 + -4x + -3x Combine like terms: 3 + -6 = -3 -27 + 5x = -3 + -4x + -3x Combine like terms: -4x + -3x = -7x -27 + 5x = -3 + -7x Solving -27 + 5x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -27 + 5x + 7x = -3 + -7x + 7x Combine like terms: 5x + 7x = 12x -27 + 12x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 12x = -3 + 0 -27 + 12x = -3 Add '27' to each side of the equation. -27 + 27 + 12x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = -3 + 27 12x = -3 + 27 Combine like terms: -3 + 27 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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