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Simplifying 12x + 21 = 3x + 174 Reorder the terms: 21 + 12x = 3x + 174 Reorder the terms: 21 + 12x = 174 + 3x Solving 21 + 12x = 174 + 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. 21 + 12x + -3x = 174 + 3x + -3x Combine like terms: 12x + -3x = 9x 21 + 9x = 174 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 9x = 174 + 0 21 + 9x = 174 Add '-21' to each side of the equation. 21 + -21 + 9x = 174 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 174 + -21 9x = 174 + -21 Combine like terms: 174 + -21 = 153 9x = 153 Divide each side by '9'. x = 17 Simplifying x = 17
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