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Simplifying 5(x + 2) = 6(1 + -1x) Reorder the terms: 5(2 + x) = 6(1 + -1x) (2 * 5 + x * 5) = 6(1 + -1x) (10 + 5x) = 6(1 + -1x) 10 + 5x = (1 * 6 + -1x * 6) 10 + 5x = (6 + -6x) Solving 10 + 5x = 6 + -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. 10 + 5x + 6x = 6 + -6x + 6x Combine like terms: 5x + 6x = 11x 10 + 11x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 11x = 6 + 0 10 + 11x = 6 Add '-10' to each side of the equation. 10 + -10 + 11x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 6 + -10 11x = 6 + -10 Combine like terms: 6 + -10 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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