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Simplifying 13x + -9 + 2x + -5 = 12x + -1 + 2x Reorder the terms: -9 + -5 + 13x + 2x = 12x + -1 + 2x Combine like terms: -9 + -5 = -14 -14 + 13x + 2x = 12x + -1 + 2x Combine like terms: 13x + 2x = 15x -14 + 15x = 12x + -1 + 2x Reorder the terms: -14 + 15x = -1 + 12x + 2x Combine like terms: 12x + 2x = 14x -14 + 15x = -1 + 14x Solving -14 + 15x = -1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -14 + 15x + -14x = -1 + 14x + -14x Combine like terms: 15x + -14x = 1x -14 + 1x = -1 + 14x + -14x Combine like terms: 14x + -14x = 0 -14 + 1x = -1 + 0 -14 + 1x = -1 Add '14' to each side of the equation. -14 + 14 + 1x = -1 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -1 + 14 1x = -1 + 14 Combine like terms: -1 + 14 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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