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Simplifying 12x + 9 = 8x + 33 Reorder the terms: 9 + 12x = 8x + 33 Reorder the terms: 9 + 12x = 33 + 8x Solving 9 + 12x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 12x + -8x = 33 + 8x + -8x Combine like terms: 12x + -8x = 4x 9 + 4x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 4x = 33 + 0 9 + 4x = 33 Add '-9' to each side of the equation. 9 + -9 + 4x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 33 + -9 4x = 33 + -9 Combine like terms: 33 + -9 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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