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Simplifying (12x + -14) = (10x + -5x) Reorder the terms: (-14 + 12x) = (10x + -5x) Remove parenthesis around (-14 + 12x) -14 + 12x = (10x + -5x) Combine like terms: 10x + -5x = 5x -14 + 12x = (5x) -14 + 12x = (5x) Solving -14 + 12x = (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) = (5x) + (-5x) Combine like terms: 12x + (-5x) = 7x -14 + 7x = (5x) + (-5x) Combine like terms: (5x) + (-5x) = 0 -14 + 7x = 0 Add '14' to each side of the equation. -14 + 14 + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 0 + 14 7x = 0 + 14 Combine like terms: 0 + 14 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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