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Simplifying (12x + -27) = (8x + 29) Reorder the terms: (-27 + 12x) = (8x + 29) Remove parenthesis around (-27 + 12x) -27 + 12x = (8x + 29) Reorder the terms: -27 + 12x = (29 + 8x) Remove parenthesis around (29 + 8x) -27 + 12x = 29 + 8x Solving -27 + 12x = 29 + 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 + 12x + -8x = 29 + 8x + -8x Combine like terms: 12x + -8x = 4x -27 + 4x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 4x = 29 + 0 -27 + 4x = 29 Add '27' to each side of the equation. -27 + 27 + 4x = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 29 + 27 4x = 29 + 27 Combine like terms: 29 + 27 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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