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Simplifying 5x + 9 + -8x = 9x + -27 + -3x + -5x + 8x Reorder the terms: 9 + 5x + -8x = 9x + -27 + -3x + -5x + 8x Combine like terms: 5x + -8x = -3x 9 + -3x = 9x + -27 + -3x + -5x + 8x Reorder the terms: 9 + -3x = -27 + 9x + -3x + -5x + 8x Combine like terms: 9x + -3x = 6x 9 + -3x = -27 + 6x + -5x + 8x Combine like terms: 6x + -5x = 1x 9 + -3x = -27 + 1x + 8x Combine like terms: 1x + 8x = 9x 9 + -3x = -27 + 9x Solving 9 + -3x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 9 + -3x + -9x = -27 + 9x + -9x Combine like terms: -3x + -9x = -12x 9 + -12x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -12x = -27 + 0 9 + -12x = -27 Add '-9' to each side of the equation. 9 + -9 + -12x = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -27 + -9 -12x = -27 + -9 Combine like terms: -27 + -9 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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