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Simplifying 13x + -9 + 3x + -4 = 12x + -2 + 3x Reorder the terms: -9 + -4 + 13x + 3x = 12x + -2 + 3x Combine like terms: -9 + -4 = -13 -13 + 13x + 3x = 12x + -2 + 3x Combine like terms: 13x + 3x = 16x -13 + 16x = 12x + -2 + 3x Reorder the terms: -13 + 16x = -2 + 12x + 3x Combine like terms: 12x + 3x = 15x -13 + 16x = -2 + 15x Solving -13 + 16x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -13 + 16x + -15x = -2 + 15x + -15x Combine like terms: 16x + -15x = 1x -13 + 1x = -2 + 15x + -15x Combine like terms: 15x + -15x = 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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