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Simplifying 20x + 21 = 12x + 13 Reorder the terms: 21 + 20x = 12x + 13 Reorder the terms: 21 + 20x = 13 + 12x Solving 21 + 20x = 13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 20x + -12x = 13 + 12x + -12x Combine like terms: 20x + -12x = 8x 21 + 8x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + 8x = 13 + 0 21 + 8x = 13 Add '-21' to each side of the equation. 21 + -21 + 8x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 13 + -21 8x = 13 + -21 Combine like terms: 13 + -21 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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