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Simplifying 6(3 + 2x) = 5x + 4 (3 * 6 + 2x * 6) = 5x + 4 (18 + 12x) = 5x + 4 Reorder the terms: 18 + 12x = 4 + 5x Solving 18 + 12x = 4 + 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 = 4 + 5x + -5x Combine like terms: 12x + -5x = 7x 18 + 7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 7x = 4 + 0 18 + 7x = 4 Add '-18' to each side of the equation. 18 + -18 + 7x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 4 + -18 7x = 4 + -18 Combine like terms: 4 + -18 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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