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Simplifying 7x + -14 = 2x + 14 + 12 Reorder the terms: -14 + 7x = 2x + 14 + 12 Reorder the terms: -14 + 7x = 14 + 12 + 2x Combine like terms: 14 + 12 = 26 -14 + 7x = 26 + 2x Solving -14 + 7x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 7x + -2x = 26 + 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x = 26 + 0 -14 + 5x = 26 Add '14' to each side of the equation. -14 + 14 + 5x = 26 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 26 + 14 5x = 26 + 14 Combine like terms: 26 + 14 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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