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Simplifying 12(x + 2) = 5x + 17 Reorder the terms: 12(2 + x) = 5x + 17 (2 * 12 + x * 12) = 5x + 17 (24 + 12x) = 5x + 17 Reorder the terms: 24 + 12x = 17 + 5x Solving 24 + 12x = 17 + 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 = 17 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = 17 + 0 24 + 7x = 17 Add '-24' to each side of the equation. 24 + -24 + 7x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 17 + -24 7x = 17 + -24 Combine like terms: 17 + -24 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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