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Simplifying -19 + 14x + -1 = 5x + 28 + 7x + 2 Reorder the terms: -19 + -1 + 14x = 5x + 28 + 7x + 2 Combine like terms: -19 + -1 = -20 -20 + 14x = 5x + 28 + 7x + 2 Reorder the terms: -20 + 14x = 28 + 2 + 5x + 7x Combine like terms: 28 + 2 = 30 -20 + 14x = 30 + 5x + 7x Combine like terms: 5x + 7x = 12x -20 + 14x = 30 + 12x Solving -20 + 14x = 30 + 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. -20 + 14x + -12x = 30 + 12x + -12x Combine like terms: 14x + -12x = 2x -20 + 2x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + 2x = 30 + 0 -20 + 2x = 30 Add '20' to each side of the equation. -20 + 20 + 2x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 30 + 20 2x = 30 + 20 Combine like terms: 30 + 20 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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