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Simplifying 42 + 12x = 49 + 21x + 9 Reorder the terms: 42 + 12x = 49 + 9 + 21x Combine like terms: 49 + 9 = 58 42 + 12x = 58 + 21x Solving 42 + 12x = 58 + 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. 42 + 12x + -21x = 58 + 21x + -21x Combine like terms: 12x + -21x = -9x 42 + -9x = 58 + 21x + -21x Combine like terms: 21x + -21x = 0 42 + -9x = 58 + 0 42 + -9x = 58 Add '-42' to each side of the equation. 42 + -42 + -9x = 58 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 58 + -42 -9x = 58 + -42 Combine like terms: 58 + -42 = 16 -9x = 16 Divide each side by '-9'. x = -1.777777778 Simplifying x = -1.777777778
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