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Simplifying 21x + -8 = 12x + 46 Reorder the terms: -8 + 21x = 12x + 46 Reorder the terms: -8 + 21x = 46 + 12x Solving -8 + 21x = 46 + 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. -8 + 21x + -12x = 46 + 12x + -12x Combine like terms: 21x + -12x = 9x -8 + 9x = 46 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 9x = 46 + 0 -8 + 9x = 46 Add '8' to each side of the equation. -8 + 8 + 9x = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 46 + 8 9x = 46 + 8 Combine like terms: 46 + 8 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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