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Simplifying 4x + -13 + -5x = -12x + 9 + 8 Reorder the terms: -13 + 4x + -5x = -12x + 9 + 8 Combine like terms: 4x + -5x = -1x -13 + -1x = -12x + 9 + 8 Reorder the terms: -13 + -1x = 9 + 8 + -12x Combine like terms: 9 + 8 = 17 -13 + -1x = 17 + -12x Solving -13 + -1x = 17 + -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. -13 + -1x + 12x = 17 + -12x + 12x Combine like terms: -1x + 12x = 11x -13 + 11x = 17 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 11x = 17 + 0 -13 + 11x = 17 Add '13' to each side of the equation. -13 + 13 + 11x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 17 + 13 11x = 17 + 13 Combine like terms: 17 + 13 = 30 11x = 30 Divide each side by '11'. x = 2.727272727 Simplifying x = 2.727272727
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