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Simplifying 12x + -14 = 5x + 35 Reorder the terms: -14 + 12x = 5x + 35 Reorder the terms: -14 + 12x = 35 + 5x Solving -14 + 12x = 35 + 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 + 12x + -5x = 35 + 5x + -5x Combine like terms: 12x + -5x = 7x -14 + 7x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 7x = 35 + 0 -14 + 7x = 35 Add '14' to each side of the equation. -14 + 14 + 7x = 35 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 35 + 14 7x = 35 + 14 Combine like terms: 35 + 14 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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