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Simplifying 2x + 9 + -1x = 12 + -3x + 21 Reorder the terms: 9 + 2x + -1x = 12 + -3x + 21 Combine like terms: 2x + -1x = 1x 9 + 1x = 12 + -3x + 21 Reorder the terms: 9 + 1x = 12 + 21 + -3x Combine like terms: 12 + 21 = 33 9 + 1x = 33 + -3x Solving 9 + 1x = 33 + -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. 9 + 1x + 3x = 33 + -3x + 3x Combine like terms: 1x + 3x = 4x 9 + 4x = 33 + -3x + 3x Combine like terms: -3x + 3x = 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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