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Simplifying 5x + 6 = 2(1 + -3x) Reorder the terms: 6 + 5x = 2(1 + -3x) 6 + 5x = (1 * 2 + -3x * 2) 6 + 5x = (2 + -6x) Solving 6 + 5x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 5x + 6x = 2 + -6x + 6x Combine like terms: 5x + 6x = 11x 6 + 11x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 11x = 2 + 0 6 + 11x = 2 Add '-6' to each side of the equation. 6 + -6 + 11x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 2 + -6 11x = 2 + -6 Combine like terms: 2 + -6 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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