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Simplifying 21x + 21 = 15x + 45 Reorder the terms: 21 + 21x = 15x + 45 Reorder the terms: 21 + 21x = 45 + 15x Solving 21 + 21x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + 21x + -15x = 45 + 15x + -15x Combine like terms: 21x + -15x = 6x 21 + 6x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + 6x = 45 + 0 21 + 6x = 45 Add '-21' to each side of the equation. 21 + -21 + 6x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 45 + -21 6x = 45 + -21 Combine like terms: 45 + -21 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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