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Simplifying 12x + -7x + 9 = 3x + 6 Reorder the terms: 9 + 12x + -7x = 3x + 6 Combine like terms: 12x + -7x = 5x 9 + 5x = 3x + 6 Reorder the terms: 9 + 5x = 6 + 3x Solving 9 + 5x = 6 + 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 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 9 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 2x = 6 + 0 9 + 2x = 6 Add '-9' to each side of the equation. 9 + -9 + 2x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 6 + -9 2x = 6 + -9 Combine like terms: 6 + -9 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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