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Simplifying 12x + 27 = 6x + 177 Reorder the terms: 27 + 12x = 6x + 177 Reorder the terms: 27 + 12x = 177 + 6x Solving 27 + 12x = 177 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 12x + -6x = 177 + 6x + -6x Combine like terms: 12x + -6x = 6x 27 + 6x = 177 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 6x = 177 + 0 27 + 6x = 177 Add '-27' to each side of the equation. 27 + -27 + 6x = 177 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 177 + -27 6x = 177 + -27 Combine like terms: 177 + -27 = 150 6x = 150 Divide each side by '6'. x = 25 Simplifying x = 25
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