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Simplifying 13x + -9 + 2x + -5x = 12x + -1 + 2x Reorder the terms: -9 + 13x + 2x + -5x = 12x + -1 + 2x Combine like terms: 13x + 2x = 15x -9 + 15x + -5x = 12x + -1 + 2x Combine like terms: 15x + -5x = 10x -9 + 10x = 12x + -1 + 2x Reorder the terms: -9 + 10x = -1 + 12x + 2x Combine like terms: 12x + 2x = 14x -9 + 10x = -1 + 14x Solving -9 + 10x = -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. -9 + 10x + -14x = -1 + 14x + -14x Combine like terms: 10x + -14x = -4x -9 + -4x = -1 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + -4x = -1 + 0 -9 + -4x = -1 Add '9' to each side of the equation. -9 + 9 + -4x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -1 + 9 -4x = -1 + 9 Combine like terms: -1 + 9 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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