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Simplifying 12x + 11 = 9x + 32 Reorder the terms: 11 + 12x = 9x + 32 Reorder the terms: 11 + 12x = 32 + 9x Solving 11 + 12x = 32 + 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. 11 + 12x + -9x = 32 + 9x + -9x Combine like terms: 12x + -9x = 3x 11 + 3x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 3x = 32 + 0 11 + 3x = 32 Add '-11' to each side of the equation. 11 + -11 + 3x = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 32 + -11 3x = 32 + -11 Combine like terms: 32 + -11 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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