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Simplifying 14x + -1x + -5 = 13x + 45 + -25x Reorder the terms: -5 + 14x + -1x = 13x + 45 + -25x Combine like terms: 14x + -1x = 13x -5 + 13x = 13x + 45 + -25x Reorder the terms: -5 + 13x = 45 + 13x + -25x Combine like terms: 13x + -25x = -12x -5 + 13x = 45 + -12x Solving -5 + 13x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + 13x + 12x = 45 + -12x + 12x Combine like terms: 13x + 12x = 25x -5 + 25x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 25x = 45 + 0 -5 + 25x = 45 Add '5' to each side of the equation. -5 + 5 + 25x = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 25x = 45 + 5 25x = 45 + 5 Combine like terms: 45 + 5 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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