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Simplifying 7x + -2 = 2x + 8 + 3x + 14 Reorder the terms: -2 + 7x = 2x + 8 + 3x + 14 Reorder the terms: -2 + 7x = 8 + 14 + 2x + 3x Combine like terms: 8 + 14 = 22 -2 + 7x = 22 + 2x + 3x Combine like terms: 2x + 3x = 5x -2 + 7x = 22 + 5x Solving -2 + 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. -2 + 7x + -5x = 22 + 5x + -5x Combine like terms: 7x + -5x = 2x -2 + 2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 2x = 22 + 0 -2 + 2x = 22 Add '2' to each side of the equation. -2 + 2 + 2x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 22 + 2 2x = 22 + 2 Combine like terms: 22 + 2 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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