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Simplifying x + 3(2 + 4x) = 6(x + 1) + 5x x + (2 * 3 + 4x * 3) = 6(x + 1) + 5x x + (6 + 12x) = 6(x + 1) + 5x Reorder the terms: 6 + x + 12x = 6(x + 1) + 5x Combine like terms: x + 12x = 13x 6 + 13x = 6(x + 1) + 5x Reorder the terms: 6 + 13x = 6(1 + x) + 5x 6 + 13x = (1 * 6 + x * 6) + 5x 6 + 13x = (6 + 6x) + 5x Combine like terms: 6x + 5x = 11x 6 + 13x = 6 + 11x Add '-6' to each side of the equation. 6 + -6 + 13x = 6 + -6 + 11x Combine like terms: 6 + -6 = 0 0 + 13x = 6 + -6 + 11x 13x = 6 + -6 + 11x Combine like terms: 6 + -6 = 0 13x = 0 + 11x 13x = 11x Solving 13x = 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. 13x + -11x = 11x + -11x Combine like terms: 13x + -11x = 2x 2x = 11x + -11x Combine like terms: 11x + -11x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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