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Simplifying -6x + 21 = -8x + 27 Reorder the terms: 21 + -6x = -8x + 27 Reorder the terms: 21 + -6x = 27 + -8x Solving 21 + -6x = 27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + -6x + 8x = 27 + -8x + 8x Combine like terms: -6x + 8x = 2x 21 + 2x = 27 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 2x = 27 + 0 21 + 2x = 27 Add '-21' to each side of the equation. 21 + -21 + 2x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 27 + -21 2x = 27 + -21 Combine like terms: 27 + -21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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