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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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