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Simplifying 5x + 24 = 3x + 40 Reorder the terms: 24 + 5x = 3x + 40 Reorder the terms: 24 + 5x = 40 + 3x Solving 24 + 5x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 5x + -3x = 40 + 3x + -3x Combine like terms: 5x + -3x = 2x 24 + 2x = 40 + 3x + -3x Combine like terms: 3x + -3x = 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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