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Simplifying 12x + -21 = 8x + 13 Reorder the terms: -21 + 12x = 8x + 13 Reorder the terms: -21 + 12x = 13 + 8x Solving -21 + 12x = 13 + 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 + 12x + -8x = 13 + 8x + -8x Combine like terms: 12x + -8x = 4x -21 + 4x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 4x = 13 + 0 -21 + 4x = 13 Add '21' to each side of the equation. -21 + 21 + 4x = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 13 + 21 4x = 13 + 21 Combine like terms: 13 + 21 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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