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Simplifying 13x + -9 + 2x + -5 = 12x + -1 + 2 Reorder the terms: -9 + -5 + 13x + 2x = 12x + -1 + 2 Combine like terms: -9 + -5 = -14 -14 + 13x + 2x = 12x + -1 + 2 Combine like terms: 13x + 2x = 15x -14 + 15x = 12x + -1 + 2 Reorder the terms: -14 + 15x = -1 + 2 + 12x Combine like terms: -1 + 2 = 1 -14 + 15x = 1 + 12x Solving -14 + 15x = 1 + 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. -14 + 15x + -12x = 1 + 12x + -12x Combine like terms: 15x + -12x = 3x -14 + 3x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 3x = 1 + 0 -14 + 3x = 1 Add '14' to each side of the equation. -14 + 14 + 3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 1 + 14 3x = 1 + 14 Combine like terms: 1 + 14 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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