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Simplifying 3(4x + 6) = 5x + -17 Reorder the terms: 3(6 + 4x) = 5x + -17 (6 * 3 + 4x * 3) = 5x + -17 (18 + 12x) = 5x + -17 Reorder the terms: 18 + 12x = -17 + 5x Solving 18 + 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. 18 + 12x + -5x = -17 + 5x + -5x Combine like terms: 12x + -5x = 7x 18 + 7x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 7x = -17 + 0 18 + 7x = -17 Add '-18' to each side of the equation. 18 + -18 + 7x = -17 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -17 + -18 7x = -17 + -18 Combine like terms: -17 + -18 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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