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Simplifying 5(1 + x) = 6(1 + -1x) (1 * 5 + x * 5) = 6(1 + -1x) (5 + 5x) = 6(1 + -1x) 5 + 5x = (1 * 6 + -1x * 6) 5 + 5x = (6 + -6x) Solving 5 + 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. 5 + 5x + 6x = 6 + -6x + 6x Combine like terms: 5x + 6x = 11x 5 + 11x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 11x = 6 + 0 5 + 11x = 6 Add '-5' to each side of the equation. 5 + -5 + 11x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 6 + -5 11x = 6 + -5 Combine like terms: 6 + -5 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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