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Simplifying (10x + -5) + (5x + -9) = 12 Reorder the terms: (-5 + 10x) + (5x + -9) = 12 Remove parenthesis around (-5 + 10x) -5 + 10x + (5x + -9) = 12 Reorder the terms: -5 + 10x + (-9 + 5x) = 12 Remove parenthesis around (-9 + 5x) -5 + 10x + -9 + 5x = 12 Reorder the terms: -5 + -9 + 10x + 5x = 12 Combine like terms: -5 + -9 = -14 -14 + 10x + 5x = 12 Combine like terms: 10x + 5x = 15x -14 + 15x = 12 Solving -14 + 15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 15x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 12 + 14 15x = 12 + 14 Combine like terms: 12 + 14 = 26 15x = 26 Divide each side by '15'. x = 1.733333333 Simplifying x = 1.733333333
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