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Simplifying 3(3x + 3) = 12 + 8 + -3x + 1 Reorder the terms: 3(3 + 3x) = 12 + 8 + -3x + 1 (3 * 3 + 3x * 3) = 12 + 8 + -3x + 1 (9 + 9x) = 12 + 8 + -3x + 1 Reorder the terms: 9 + 9x = 12 + 8 + 1 + -3x Combine like terms: 12 + 8 = 20 9 + 9x = 20 + 1 + -3x Combine like terms: 20 + 1 = 21 9 + 9x = 21 + -3x Solving 9 + 9x = 21 + -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 + 9x + 3x = 21 + -3x + 3x Combine like terms: 9x + 3x = 12x 9 + 12x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 12x = 21 + 0 9 + 12x = 21 Add '-9' to each side of the equation. 9 + -9 + 12x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 21 + -9 12x = 21 + -9 Combine like terms: 21 + -9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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