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Simplifying 3x + 12 + 14x + -2 = 12x + 34 + -20 Reorder the terms: 12 + -2 + 3x + 14x = 12x + 34 + -20 Combine like terms: 12 + -2 = 10 10 + 3x + 14x = 12x + 34 + -20 Combine like terms: 3x + 14x = 17x 10 + 17x = 12x + 34 + -20 Reorder the terms: 10 + 17x = 34 + -20 + 12x Combine like terms: 34 + -20 = 14 10 + 17x = 14 + 12x Solving 10 + 17x = 14 + 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. 10 + 17x + -12x = 14 + 12x + -12x Combine like terms: 17x + -12x = 5x 10 + 5x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 5x = 14 + 0 10 + 5x = 14 Add '-10' to each side of the equation. 10 + -10 + 5x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 14 + -10 5x = 14 + -10 Combine like terms: 14 + -10 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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