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Simplifying 12x + -5 = 21x + 1 Reorder the terms: -5 + 12x = 21x + 1 Reorder the terms: -5 + 12x = 1 + 21x Solving -5 + 12x = 1 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -5 + 12x + -21x = 1 + 21x + -21x Combine like terms: 12x + -21x = -9x -5 + -9x = 1 + 21x + -21x Combine like terms: 21x + -21x = 0 -5 + -9x = 1 + 0 -5 + -9x = 1 Add '5' to each side of the equation. -5 + 5 + -9x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 1 + 5 -9x = 1 + 5 Combine like terms: 1 + 5 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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