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Simplifying 3x + 21 + 5x = 7x + 24 Reorder the terms: 21 + 3x + 5x = 7x + 24 Combine like terms: 3x + 5x = 8x 21 + 8x = 7x + 24 Reorder the terms: 21 + 8x = 24 + 7x Solving 21 + 8x = 24 + 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. 21 + 8x + -7x = 24 + 7x + -7x Combine like terms: 8x + -7x = 1x 21 + 1x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 1x = 24 + 0 21 + 1x = 24 Add '-21' to each side of the equation. 21 + -21 + 1x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 24 + -21 1x = 24 + -21 Combine like terms: 24 + -21 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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