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Simplifying 3x + 14 + -6x = 12 + -5x Reorder the terms: 14 + 3x + -6x = 12 + -5x Combine like terms: 3x + -6x = -3x 14 + -3x = 12 + -5x Solving 14 + -3x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + -3x + 5x = 12 + -5x + 5x Combine like terms: -3x + 5x = 2x 14 + 2x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 2x = 12 + 0 14 + 2x = 12 Add '-14' to each side of the equation. 14 + -14 + 2x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 12 + -14 2x = 12 + -14 Combine like terms: 12 + -14 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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