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Simplifying 3(x + 4) + 7x = 5x + 24 Reorder the terms: 3(4 + x) + 7x = 5x + 24 (4 * 3 + x * 3) + 7x = 5x + 24 (12 + 3x) + 7x = 5x + 24 Combine like terms: 3x + 7x = 10x 12 + 10x = 5x + 24 Reorder the terms: 12 + 10x = 24 + 5x Solving 12 + 10x = 24 + 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. 12 + 10x + -5x = 24 + 5x + -5x Combine like terms: 10x + -5x = 5x 12 + 5x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 5x = 24 + 0 12 + 5x = 24 Add '-12' to each side of the equation. 12 + -12 + 5x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 24 + -12 5x = 24 + -12 Combine like terms: 24 + -12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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