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Simplifying 5x + 12x + -14 = 7x + 15x + 21 Reorder the terms: -14 + 5x + 12x = 7x + 15x + 21 Combine like terms: 5x + 12x = 17x -14 + 17x = 7x + 15x + 21 Reorder the terms: -14 + 17x = 21 + 7x + 15x Combine like terms: 7x + 15x = 22x -14 + 17x = 21 + 22x Solving -14 + 17x = 21 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -14 + 17x + -22x = 21 + 22x + -22x Combine like terms: 17x + -22x = -5x -14 + -5x = 21 + 22x + -22x Combine like terms: 22x + -22x = 0 -14 + -5x = 21 + 0 -14 + -5x = 21 Add '14' to each side of the equation. -14 + 14 + -5x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 21 + 14 -5x = 21 + 14 Combine like terms: 21 + 14 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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