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Simplifying 2x + 9 + -8x + -6 = 6 + -5x + -12 Reorder the terms: 9 + -6 + 2x + -8x = 6 + -5x + -12 Combine like terms: 9 + -6 = 3 3 + 2x + -8x = 6 + -5x + -12 Combine like terms: 2x + -8x = -6x 3 + -6x = 6 + -5x + -12 Reorder the terms: 3 + -6x = 6 + -12 + -5x Combine like terms: 6 + -12 = -6 3 + -6x = -6 + -5x Solving 3 + -6x = -6 + -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. 3 + -6x + 5x = -6 + -5x + 5x Combine like terms: -6x + 5x = -1x 3 + -1x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -1x = -6 + 0 3 + -1x = -6 Add '-3' to each side of the equation. 3 + -3 + -1x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -6 + -3 -1x = -6 + -3 Combine like terms: -6 + -3 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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