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Simplifying 12 + -9x + 15 + -5x = 14 + -8x + 6 Reorder the terms: 12 + 15 + -9x + -5x = 14 + -8x + 6 Combine like terms: 12 + 15 = 27 27 + -9x + -5x = 14 + -8x + 6 Combine like terms: -9x + -5x = -14x 27 + -14x = 14 + -8x + 6 Reorder the terms: 27 + -14x = 14 + 6 + -8x Combine like terms: 14 + 6 = 20 27 + -14x = 20 + -8x Solving 27 + -14x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 27 + -14x + 8x = 20 + -8x + 8x Combine like terms: -14x + 8x = -6x 27 + -6x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + -6x = 20 + 0 27 + -6x = 20 Add '-27' to each side of the equation. 27 + -27 + -6x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 20 + -27 -6x = 20 + -27 Combine like terms: 20 + -27 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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