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Simplifying x + 33 = -5x + 9 Reorder the terms: 33 + x = -5x + 9 Reorder the terms: 33 + x = 9 + -5x Solving 33 + x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 33 + x + 5x = 9 + -5x + 5x Combine like terms: x + 5x = 6x 33 + 6x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 33 + 6x = 9 + 0 33 + 6x = 9 Add '-33' to each side of the equation. 33 + -33 + 6x = 9 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = 9 + -33 6x = 9 + -33 Combine like terms: 9 + -33 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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