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Simplifying 8x + 27 = 12x + -33 Reorder the terms: 27 + 8x = 12x + -33 Reorder the terms: 27 + 8x = -33 + 12x Solving 27 + 8x = -33 + 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. 27 + 8x + -12x = -33 + 12x + -12x Combine like terms: 8x + -12x = -4x 27 + -4x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -4x = -33 + 0 27 + -4x = -33 Add '-27' to each side of the equation. 27 + -27 + -4x = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = -33 + -27 -4x = -33 + -27 Combine like terms: -33 + -27 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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