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Simplifying 2(3x + 6) + 9 = 9 + 2x Reorder the terms: 2(6 + 3x) + 9 = 9 + 2x (6 * 2 + 3x * 2) + 9 = 9 + 2x (12 + 6x) + 9 = 9 + 2x Reorder the terms: 12 + 9 + 6x = 9 + 2x Combine like terms: 12 + 9 = 21 21 + 6x = 9 + 2x Solving 21 + 6x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 21 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 4x = 9 + 0 21 + 4x = 9 Add '-21' to each side of the equation. 21 + -21 + 4x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 9 + -21 4x = 9 + -21 Combine like terms: 9 + -21 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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