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Simplifying -2x + -3 + 8x + -6 = 7x + 8 + -12x + 13 Reorder the terms: -3 + -6 + -2x + 8x = 7x + 8 + -12x + 13 Combine like terms: -3 + -6 = -9 -9 + -2x + 8x = 7x + 8 + -12x + 13 Combine like terms: -2x + 8x = 6x -9 + 6x = 7x + 8 + -12x + 13 Reorder the terms: -9 + 6x = 8 + 13 + 7x + -12x Combine like terms: 8 + 13 = 21 -9 + 6x = 21 + 7x + -12x Combine like terms: 7x + -12x = -5x -9 + 6x = 21 + -5x Solving -9 + 6x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + 6x + 5x = 21 + -5x + 5x Combine like terms: 6x + 5x = 11x -9 + 11x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 11x = 21 + 0 -9 + 11x = 21 Add '9' to each side of the equation. -9 + 9 + 11x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 21 + 9 11x = 21 + 9 Combine like terms: 21 + 9 = 30 11x = 30 Divide each side by '11'. x = 2.727272727 Simplifying x = 2.727272727
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