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Simplifying 12(2 + x) = 5(x + 3) (2 * 12 + x * 12) = 5(x + 3) (24 + 12x) = 5(x + 3) Reorder the terms: 24 + 12x = 5(3 + x) 24 + 12x = (3 * 5 + x * 5) 24 + 12x = (15 + 5x) Solving 24 + 12x = 15 + 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 = 15 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = 15 + 0 24 + 7x = 15 Add '-24' to each side of the equation. 24 + -24 + 7x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 15 + -24 7x = 15 + -24 Combine like terms: 15 + -24 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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