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Simplifying 7x + -14 = 5x + 22 Reorder the terms: -14 + 7x = 5x + 22 Reorder the terms: -14 + 7x = 22 + 5x Solving -14 + 7x = 22 + 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 + 7x + -5x = 22 + 5x + -5x Combine like terms: 7x + -5x = 2x -14 + 2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 2x = 22 + 0 -14 + 2x = 22 Add '14' to each side of the equation. -14 + 14 + 2x = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 22 + 14 2x = 22 + 14 Combine like terms: 22 + 14 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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