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Simplifying 5x + -3 + 7x + -14 = 2x + -4 + 3x + 7 Reorder the terms: -3 + -14 + 5x + 7x = 2x + -4 + 3x + 7 Combine like terms: -3 + -14 = -17 -17 + 5x + 7x = 2x + -4 + 3x + 7 Combine like terms: 5x + 7x = 12x -17 + 12x = 2x + -4 + 3x + 7 Reorder the terms: -17 + 12x = -4 + 7 + 2x + 3x Combine like terms: -4 + 7 = 3 -17 + 12x = 3 + 2x + 3x Combine like terms: 2x + 3x = 5x -17 + 12x = 3 + 5x Solving -17 + 12x = 3 + 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. -17 + 12x + -5x = 3 + 5x + -5x Combine like terms: 12x + -5x = 7x -17 + 7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 7x = 3 + 0 -17 + 7x = 3 Add '17' to each side of the equation. -17 + 17 + 7x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 3 + 17 7x = 3 + 17 Combine like terms: 3 + 17 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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