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Simplifying (3x + -14) + (7x + -6) = 50 Reorder the terms: (-14 + 3x) + (7x + -6) = 50 Remove parenthesis around (-14 + 3x) -14 + 3x + (7x + -6) = 50 Reorder the terms: -14 + 3x + (-6 + 7x) = 50 Remove parenthesis around (-6 + 7x) -14 + 3x + -6 + 7x = 50 Reorder the terms: -14 + -6 + 3x + 7x = 50 Combine like terms: -14 + -6 = -20 -20 + 3x + 7x = 50 Combine like terms: 3x + 7x = 10x -20 + 10x = 50 Solving -20 + 10x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 50 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 50 + 20 10x = 50 + 20 Combine like terms: 50 + 20 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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