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Simplifying 6x + 9 = 3x + -21 + -6 Reorder the terms: 9 + 6x = 3x + -21 + -6 Reorder the terms: 9 + 6x = -21 + -6 + 3x Combine like terms: -21 + -6 = -27 9 + 6x = -27 + 3x Solving 9 + 6x = -27 + 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 + 6x + -3x = -27 + 3x + -3x Combine like terms: 6x + -3x = 3x 9 + 3x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 3x = -27 + 0 9 + 3x = -27 Add '-9' to each side of the equation. 9 + -9 + 3x = -27 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -27 + -9 3x = -27 + -9 Combine like terms: -27 + -9 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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