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Simplifying 45x + 30 = 24x + 72 Reorder the terms: 30 + 45x = 24x + 72 Reorder the terms: 30 + 45x = 72 + 24x Solving 30 + 45x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 30 + 45x + -24x = 72 + 24x + -24x Combine like terms: 45x + -24x = 21x 30 + 21x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 30 + 21x = 72 + 0 30 + 21x = 72 Add '-30' to each side of the equation. 30 + -30 + 21x = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 72 + -30 21x = 72 + -30 Combine like terms: 72 + -30 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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