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Simplifying 3(4x + 8) = 5x + 7 Reorder the terms: 3(8 + 4x) = 5x + 7 (8 * 3 + 4x * 3) = 5x + 7 (24 + 12x) = 5x + 7 Reorder the terms: 24 + 12x = 7 + 5x Solving 24 + 12x = 7 + 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. 24 + 12x + -5x = 7 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = 7 + 0 24 + 7x = 7 Add '-24' to each side of the equation. 24 + -24 + 7x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 7 + -24 7x = 7 + -24 Combine like terms: 7 + -24 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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