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Simplifying 3(2x + 6) = 10 + -5x + 4 Reorder the terms: 3(6 + 2x) = 10 + -5x + 4 (6 * 3 + 2x * 3) = 10 + -5x + 4 (18 + 6x) = 10 + -5x + 4 Reorder the terms: 18 + 6x = 10 + 4 + -5x Combine like terms: 10 + 4 = 14 18 + 6x = 14 + -5x Solving 18 + 6x = 14 + -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 + 6x + 5x = 14 + -5x + 5x Combine like terms: 6x + 5x = 11x 18 + 11x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 11x = 14 + 0 18 + 11x = 14 Add '-18' to each side of the equation. 18 + -18 + 11x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 11x = 14 + -18 11x = 14 + -18 Combine like terms: 14 + -18 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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