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Simplifying (3x + 27) = (8x + -8) Reorder the terms: (27 + 3x) = (8x + -8) Remove parenthesis around (27 + 3x) 27 + 3x = (8x + -8) Reorder the terms: 27 + 3x = (-8 + 8x) Remove parenthesis around (-8 + 8x) 27 + 3x = -8 + 8x Solving 27 + 3x = -8 + 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 + 3x + -8x = -8 + 8x + -8x Combine like terms: 3x + -8x = -5x 27 + -5x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -5x = -8 + 0 27 + -5x = -8 Add '-27' to each side of the equation. 27 + -27 + -5x = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -8 + -27 -5x = -8 + -27 Combine like terms: -8 + -27 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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