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Simplifying 13x + -9 + 2x + -4 = 12x + -2 + 2x Reorder the terms: -9 + -4 + 13x + 2x = 12x + -2 + 2x Combine like terms: -9 + -4 = -13 -13 + 13x + 2x = 12x + -2 + 2x Combine like terms: 13x + 2x = 15x -13 + 15x = 12x + -2 + 2x Reorder the terms: -13 + 15x = -2 + 12x + 2x Combine like terms: 12x + 2x = 14x -13 + 15x = -2 + 14x Solving -13 + 15x = -2 + 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. -13 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x -13 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -13 + 1x = -2 + 0 -13 + 1x = -2 Add '13' to each side of the equation. -13 + 13 + 1x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -2 + 13 1x = -2 + 13 Combine like terms: -2 + 13 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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