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Simplifying 2x + 3x + -1x + 9 = x + 2x + 12 Reorder the terms: 9 + 2x + 3x + -1x = x + 2x + 12 Combine like terms: 2x + 3x = 5x 9 + 5x + -1x = x + 2x + 12 Combine like terms: 5x + -1x = 4x 9 + 4x = x + 2x + 12 Reorder the terms: 9 + 4x = 12 + x + 2x Combine like terms: x + 2x = 3x 9 + 4x = 12 + 3x Solving 9 + 4x = 12 + 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 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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