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Simplifying 12x + -8 = 10x + 21 Reorder the terms: -8 + 12x = 10x + 21 Reorder the terms: -8 + 12x = 21 + 10x Solving -8 + 12x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 12x + -10x = 21 + 10x + -10x Combine like terms: 12x + -10x = 2x -8 + 2x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 2x = 21 + 0 -8 + 2x = 21 Add '8' to each side of the equation. -8 + 8 + 2x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 21 + 8 2x = 21 + 8 Combine like terms: 21 + 8 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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