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Simplifying -5x + -14 + 7x + 13 = -6 Reorder the terms: -14 + 13 + -5x + 7x = -6 Combine like terms: -14 + 13 = -1 -1 + -5x + 7x = -6 Combine like terms: -5x + 7x = 2x -1 + 2x = -6 Solving -1 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -6 + 1 2x = -6 + 1 Combine like terms: -6 + 1 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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