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Simplifying 6x + 21 = 33 + -6x Reorder the terms: 21 + 6x = 33 + -6x Solving 21 + 6x = 33 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + 6x + 6x = 33 + -6x + 6x Combine like terms: 6x + 6x = 12x 21 + 12x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 12x = 33 + 0 21 + 12x = 33 Add '-21' to each side of the equation. 21 + -21 + 12x = 33 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 33 + -21 12x = 33 + -21 Combine like terms: 33 + -21 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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