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Simplifying 7x + 24 = 5x + 40 Reorder the terms: 24 + 7x = 5x + 40 Reorder the terms: 24 + 7x = 40 + 5x Solving 24 + 7x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 7x + -5x = 40 + 5x + -5x Combine like terms: 7x + -5x = 2x 24 + 2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 2x = 40 + 0 24 + 2x = 40 Add '-24' to each side of the equation. 24 + -24 + 2x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 40 + -24 2x = 40 + -24 Combine like terms: 40 + -24 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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