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Simplifying 7x + 3x + 24 = 30 + 8x Reorder the terms: 24 + 7x + 3x = 30 + 8x Combine like terms: 7x + 3x = 10x 24 + 10x = 30 + 8x Solving 24 + 10x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 10x + -8x = 30 + 8x + -8x Combine like terms: 10x + -8x = 2x 24 + 2x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 2x = 30 + 0 24 + 2x = 30 Add '-24' to each side of the equation. 24 + -24 + 2x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 30 + -24 2x = 30 + -24 Combine like terms: 30 + -24 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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