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Simplifying -14x + -45 = -13x + 15 + -7x Reorder the terms: -45 + -14x = -13x + 15 + -7x Reorder the terms: -45 + -14x = 15 + -13x + -7x Combine like terms: -13x + -7x = -20x -45 + -14x = 15 + -20x Solving -45 + -14x = 15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -45 + -14x + 20x = 15 + -20x + 20x Combine like terms: -14x + 20x = 6x -45 + 6x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 -45 + 6x = 15 + 0 -45 + 6x = 15 Add '45' to each side of the equation. -45 + 45 + 6x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 15 + 45 6x = 15 + 45 Combine like terms: 15 + 45 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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