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Simplifying 12 + 9x = 120 + -9x + 54 Reorder the terms: 12 + 9x = 120 + 54 + -9x Combine like terms: 120 + 54 = 174 12 + 9x = 174 + -9x Solving 12 + 9x = 174 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 9x + 9x = 174 + -9x + 9x Combine like terms: 9x + 9x = 18x 12 + 18x = 174 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 18x = 174 + 0 12 + 18x = 174 Add '-12' to each side of the equation. 12 + -12 + 18x = 174 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 174 + -12 18x = 174 + -12 Combine like terms: 174 + -12 = 162 18x = 162 Divide each side by '18'. x = 9 Simplifying x = 9
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