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Simplifying 8x + 21 = 1 + -6x + 12x Reorder the terms: 21 + 8x = 1 + -6x + 12x Combine like terms: -6x + 12x = 6x 21 + 8x = 1 + 6x Solving 21 + 8x = 1 + 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 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x 21 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 2x = 1 + 0 21 + 2x = 1 Add '-21' to each side of the equation. 21 + -21 + 2x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 1 + -21 2x = 1 + -21 Combine like terms: 1 + -21 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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