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Simplifying 12x + 27 = 3x + 171 Reorder the terms: 27 + 12x = 3x + 171 Reorder the terms: 27 + 12x = 171 + 3x Solving 27 + 12x = 171 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 12x + -3x = 171 + 3x + -3x Combine like terms: 12x + -3x = 9x 27 + 9x = 171 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 9x = 171 + 0 27 + 9x = 171 Add '-27' to each side of the equation. 27 + -27 + 9x = 171 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 171 + -27 9x = 171 + -27 Combine like terms: 171 + -27 = 144 9x = 144 Divide each side by '9'. x = 16 Simplifying x = 16
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