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Simplifying 9(x + 1) = -3x + 33 Reorder the terms: 9(1 + x) = -3x + 33 (1 * 9 + x * 9) = -3x + 33 (9 + 9x) = -3x + 33 Reorder the terms: 9 + 9x = 33 + -3x Solving 9 + 9x = 33 + -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 = 33 + -3x + 3x Combine like terms: 9x + 3x = 12x 9 + 12x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 12x = 33 + 0 9 + 12x = 33 Add '-9' to each side of the equation. 9 + -9 + 12x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 33 + -9 12x = 33 + -9 Combine like terms: 33 + -9 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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