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Simplifying 21x + -14 + 5 = 12x + -6 + 24 Reorder the terms: -14 + 5 + 21x = 12x + -6 + 24 Combine like terms: -14 + 5 = -9 -9 + 21x = 12x + -6 + 24 Reorder the terms: -9 + 21x = -6 + 24 + 12x Combine like terms: -6 + 24 = 18 -9 + 21x = 18 + 12x Solving -9 + 21x = 18 + 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. -9 + 21x + -12x = 18 + 12x + -12x Combine like terms: 21x + -12x = 9x -9 + 9x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 9x = 18 + 0 -9 + 9x = 18 Add '9' to each side of the equation. -9 + 9 + 9x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 18 + 9 9x = 18 + 9 Combine like terms: 18 + 9 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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