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Simplifying -2 + 3(2 + 4x) = 6(x + 1) + 5x -2 + (2 * 3 + 4x * 3) = 6(x + 1) + 5x -2 + (6 + 12x) = 6(x + 1) + 5x Combine like terms: -2 + 6 = 4 4 + 12x = 6(x + 1) + 5x Reorder the terms: 4 + 12x = 6(1 + x) + 5x 4 + 12x = (1 * 6 + x * 6) + 5x 4 + 12x = (6 + 6x) + 5x Combine like terms: 6x + 5x = 11x 4 + 12x = 6 + 11x Solving 4 + 12x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 12x + -11x = 6 + 11x + -11x Combine like terms: 12x + -11x = 1x 4 + 1x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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