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Simplifying -6x + -33 = 3x + 12 Reorder the terms: -33 + -6x = 3x + 12 Reorder the terms: -33 + -6x = 12 + 3x Solving -33 + -6x = 12 + 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. -33 + -6x + -3x = 12 + 3x + -3x Combine like terms: -6x + -3x = -9x -33 + -9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + -9x = 12 + 0 -33 + -9x = 12 Add '33' to each side of the equation. -33 + 33 + -9x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + -9x = 12 + 33 -9x = 12 + 33 Combine like terms: 12 + 33 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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