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Simplifying 24x + 36 = 21x + 42 Reorder the terms: 36 + 24x = 21x + 42 Reorder the terms: 36 + 24x = 42 + 21x Solving 36 + 24x = 42 + 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. 36 + 24x + -21x = 42 + 21x + -21x Combine like terms: 24x + -21x = 3x 36 + 3x = 42 + 21x + -21x Combine like terms: 21x + -21x = 0 36 + 3x = 42 + 0 36 + 3x = 42 Add '-36' to each side of the equation. 36 + -36 + 3x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 42 + -36 3x = 42 + -36 Combine like terms: 42 + -36 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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