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Simplifying 3x + 24 + 5x = 7x + 242 Reorder the terms: 24 + 3x + 5x = 7x + 242 Combine like terms: 3x + 5x = 8x 24 + 8x = 7x + 242 Reorder the terms: 24 + 8x = 242 + 7x Solving 24 + 8x = 242 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 8x + -7x = 242 + 7x + -7x Combine like terms: 8x + -7x = 1x 24 + 1x = 242 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 1x = 242 + 0 24 + 1x = 242 Add '-24' to each side of the equation. 24 + -24 + 1x = 242 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 242 + -24 1x = 242 + -24 Combine like terms: 242 + -24 = 218 1x = 218 Divide each side by '1'. x = 218 Simplifying x = 218
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